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Abstracts

This is an archive of abstracts accepted to this conference. For more listing and sorting options, see the active list.

I.1 Function spaces and fractional calculus

Kalybay Aigerim Some properties of spaces with multiwieghted derivatives.
Enrique Ramirez de Arellano On the inversion of potential type operators with kernels having singularities on a sphere
S.A. Azizov On discrete analog of singular integral operators in terms of D-calculus and its application
B.L. Baideldinov Hardy-type Inequalities with several weights
R.A. Bandaliev Some imbedding theorems for weighted Sobolev spaces of banach-valued functions
R.A. Bandaliev Some imbedding theorems for weighted Sobolev spaces of banach-valued functions.
V.I. Burenkov Sharp estimates for integrals over small intervals for functions possessing some smoothness
V.I. Burenkov Spectral Stability of the Neumann Laplacian
António Caetano Growth envelopes of spaces of generalized smoothness: the subcritical case
Julii A. Dubinskii The problem of continuation with least coanalytic deviation
A.D. Dzhabrailov The properties of functions on the boundary surfaces
A.I. Gadziyev Two weighted inequalities for fractional maximal functions and fractional integrals, generated by Bessel differential operators
N.N. Garahanova Some properties of B_{k, n}-maximal functions and B_{k, n}-Riesz potentials
Gerardo Emilio García Almeida On estimates for convolutions in anisotropic Nikol'skii-Besov spaces
V. Goldshtein Sobolev Spaces on Metric Spaces (axiomatic approach)
Alexandre Greshnov Examples of the domains on some metric spaces
V.S. Guliev Limits embedding theorems on the anisotropic Sobolev-Bessel space
V.S. Guliev The imbedding theorems on the Lizorkin-Triebel-Morrey type space
V.S. Guliev Weighted effects some integral operators and its applications
Huseyn Guliyev Boundedness of maximal operators on generalized local Morrey-type spaces
Nadir V. Ibadov The generalization of Borel's theorem
Alexey Karapetyants A boundedness result for twisted convolution,
Siegmar Kempfle The scope of the functional calculus approach to fractional differential equations
Anatoly A. Kilbas Hadamard-type fractional calculus and generalized Stirling numbers
Michael Korey BMO, VMO, and All That Jazz: A Decomposition of Functions with Vanishing Mean Oscillation
Shozo Koshi Function space and optimization
Fon-Che Liu Maximal Mean Estimates of Taylor Remainder
Tosinobu Muramatu Some kind of Besov spaces related to non-linear PDEs
R.Ch. Mustafaev W_{[`p], \omega}^{m, 1} solvability of the first initial-boundary problem for parabolic equations.
A.M. Najafov The imbedding theorems on the Besov-Djabrailov-Morrey type space and its applications
A.Kh. Narimanov Limits embedding theorems on the anisotropic Sobolev-Bessel space.
N. N. Romanjvskii Integral representations and embedding theorems of functions defined on the Heisenberg groups
Stefan Samko Characterization of weighted spaces of Riesz potentials via approximative inverse operators
T. Shaposhnikova Pointwise interpolation inequalities for derivatives and their applications
Frank-Olme Speck Minimal normalization of mixed boundary value problems
Nasser-eddine Tatar On a fractional differential equation

I.2 Asymptotic decomposition

Alexandre Demidov Homogeneization at the boundary with singularities
Sybille Handrock-Meyer A method to determine the dimension of long-time dynamics in multi-scale systems
Tadayuki Sekine Integral means inequalities for fractional calculus operator
Mikhail M. Vasiliev About the obtaining self-similar solutions of the Navier-Stokes equations by methods of power geometry

I.3 Integral transforms and applications

M. Englis Iterates, fixed-points and the boundary behaviour of the Berezin transform
J.R. Higgins Integral transforms and sampling theorems
Anatoly A. Kilbas Integral transforms with Bessel and hypergeometric type kernels
Dieter Klusch The wavelet transform and index theory
Francesco Mainardi Applications of integral transforms in fractional diffusion processes
Saburou Saitoh Various operators among Hilbert spaces through integral transforms
Senjo Shimizu Applications of Fourier's transform to some resolvent estimates for the Stokes system
Nina Virchenko On some integral transforms with generalized function of hypergeometric type
Shuji Watanabe A generalized Fourier transform

I.4 Analytic functionals, hyperfunctions, and generalized functions

Chikh Bouzar Gevrey vectors of multi-quasi-elliptic differential operators
Keiko Fujita Analytic functions and analytic functionals on some balls in the complex Euclidean spaces
R. Horiuchi Moduli space of a family of Riemann surfaces of genus one
Kazuko Katô Construction de la solution bornée du second problème de Cousin dans le polydisque unité de C^n (n >= 3)
Mitsuo Morimoto Boehmians on the Sphere
Yoshihide Okumura Angle parameters for Teichmüller spaces and their application
Hiroki Sato The Picard group, the figure-eight knot group and J groups
Toshiaki Terada The hypergeometric representation of the group of pure braids

I.5 Geometric function theory

Cabiria Andreian Cazacu Covering properties
Gabriela Kohr Parametric representation of univalent mappings in several complex variables
Mikhail V. Korobkov On stability of a class of convex functions
Massimo Lanza de Cristoforis Asymptotic behaviour of the conformal representation of a Jordan domain with a small hole.
Toshio Matsushima Bounded holomorphic function with some boundary behavior
Shigeyoshi Owa Notes on certain subordinations

I.6 Complex function spaces

Grigor Barsegian \Gamma-lines approach in the theory of meromorphic function
George Csordas Complex zero decreasing sequences and the Riemann Hypothesis II
A. El-Sayed On the effectiveness of basic sets of polynomials of several complex variables in elliptical regions
Matts Essén Q_K-spaces
Daniel Girela Division by inner functions
Klaus Guerlebeck On monogenic Q_p functions
Chuan-Gan Hu Meromorphic functions on a Riemann surface to a locally semi-convex space
Katsuya Ishizaki Meromorphic functions that satisfy some functional equations
Peter Lappan Avoidance criteria for normal families
Shamil Makhmutov On cercles de remplissage
Maria Nowak On zeros of normal functions
Fernando Perez-Gonzalez Bloch-Hardy Pullbacks
Christian Pommerenke Hyperbolically Convex Functions
Shun Shimomura A lower estimate for the growth of the first Painlevé transcendents
Mirjana Stojanovic Solving Volterra integro-differential equations by Laguerre expansions
Kazuya Tohge On unique range sets for polynomials or rational functions
Hasi Wulan Q_p spaces with nondecreasing functions

I.7 Value distribution theory and complex dynamics

Yoshihiro Aihara Algebraic dependence theorems for meromorphic mappings defined on analytic covering spaces
Maria Teresa Alzugaray On singularities, growth and domains of holomorphy of generating functions of P\´olya frequency sequences.
Grigor Barsegian A new property of meromorphic functions and its applications
Alain Escassut Nevanlinna Theory in characteristic p and applications
Pei-Chu Hu Generalizations of the abc-conjecture
Katsuya Ishizaki Studies of linear difference equations
Anand Prakash Singh On the dynamics of composition of entire functions
Nobushige Toda On the defect of holomorphic curves with maximal deficiency sum
Chuan-Gan Hu and Xin-Fang Ye The Nevanlinna's first main theorem for an operation to projective spaces

II.1 Clifford analysis

Swanhild Bernstein Inverse-Scattering with the time-dependent and time-independent Schroedinger equation
Isabel Cacao Norm relations between homogeneous harmonic and monogenic polynomials and their derivatives
Sirkka-Liisa Eriksson-Bique Hypermonogenic functions
Oleg F. Gerus On boundary values of the Cauchy-type integral for \alpha-hyperholomorphic functions in R²
Yuri Grigoriev Hypercomplex functions methods in three-dimensional problems of elasticity
Angela Hommel On finite difference Cauchy-Riemann operators
Catalina Ibañez Building and moving surfaces with quaternions
Yakov Krasnov Commutative algebras in Clifford analysis
Rolf Soeren Krausshar Eisenstein series in Clifford analysis and its applications
Helmuth R. Malonek Conformal mappings in the real Euclidean space of dimension four characterized by a formal differentiability condition
Elena Obolashvili Some boundary and initial problems for high order PDE in Clifford analysis
John Ryan Cliffford analysis on cylinders and spheres
Baruch Schneider The Cauchy-type integral for the Maxwell equations and \alpha-hyperholomorphic functions
Michael Shapiro Holomorphic functions, Grassmann algebras, and Clifford analysis
Leonardo Traversoni Description of surfaces in terms of quaternionic functions
Le Hung Son and Nguyen Thanh Van Some extension theorems for regular functions of several quaternionic variables

II.2 Octonions

Alfonso F. Agnew Spacetime algebras and twistors
Paolo Budinich Flavour and colors SU(3) from octonions in CI(1, 9)
Stefan Rönn Bicomplex holomorphic functions and their relation to Fueter's regular functions

III.1 Nonlinear potential theory

Kenzo Adachi Integral formulas and its applications to the d-bar problem and the extension problem
Hiroaki Aikawa Hölder continuity of Dirichlet solution for a general domain
Anders Bjoern Removable singularities for Hardy spaces of analytic functions
Jana Bjoern Poincaré inequalities for powers and products of admissible weights
Gennadii V. Demidenko Weighted Sobolev spaces and quasielliptic operators in R^n
S.K. Vodop'yanov On closeness of mappings with bounded distortion in Carnot-Caratheodory geometry

III.2 Classical and fine potential theory, holomorphic and finely holomorphic functions

Tahir Aliyev Contour-solid theorems for meromorphic functions taking into account nonunivalence
D. Ghisa Nonorientable compactifications of Riemann surfaces
Vladimir Mityushev Macroscopic diffusion on surfaces
Sergiy Plaksa Dirichlet boundary problems for axial-symmetric potential fields
Andrei Pokrovskii Removable singularities for solutions of linear elliptic partial differential equations
Promarz Tamrazov Batteries and energy minimization problems of potential theory

IV.1 Differential geometry and control theory for pdes

Michael Galbraith A geometric-optics proof of a theorem on boundary control given a convex function
Walter Littman The use of geometric tools in the boundary control of partial differential equations
Sergio Vessella Three cylinder inequalities and unique continuation properties for parabolic equations
Oleg Yu. Imanuvilov and Masahiro Yamamoto Stability in an inverse hyperbolic problem with the zero Neumann condition

IV.2 Differential geometry and quantum physics

Vera V. Dmitrieva Point transformations and the Painleve equations

V.1 Singular boundary value problems for ordinary differential equations

<no abstracts>

V.2 Dynamical systems

Abderrahim Azouani Effect of different non-linear parametric resonnant perturbation on the suppression of chaos
Valery A. Gaiko On global bifurcations in polynomial dynamical systems
Katrin Gelfert Lower estimates of the topological entropy for dynamical systems on Riemannian manifolds
Vassili Gelfreich Hamiltonian bifurcations and local analytic classification
Alexey Ignatyev On optimal stabilization of nonautonomous systems
Joerg Kampen On fixed points and chaotic limit sets
Norbert Koksch Inertial manifolds for nonautonomous dynamical systems
Stefan Liebscher Bogdanov-Takens bifurcation without parameters
O. Suzuki, J. Lawrynowicz, K. Nôno, N. Fujimoto An explicit construction of real pre-Hurwitz algebras
Osamu Suzuki Representations of Cuntz algebras on fractal sets
Claudia Wulff Stability of Hamiltonian relative equilibria
Yoshikazu Yamagishi Cantor family of superstable manifolds of a multiple root in the dynamics of Newton's method of two variables

V.3 Attractors for partial differential equations and asymptotic behaviour

Bernold Fiedler Quantitative Homogenization
Thierry Gallay Long-time asymptotics of the Navier-Stokes equations
Olivier Goubet Asymptotical smoothing effect for KdV equation
Michael Grinfeld Weak lap number principle in gradient-like dynamical systems
Jörg Härterich Canard attractors for singularly perturbed parabolic equations
Oliver Junge Numerical approximation of the asymptotic behavior of dynamical systems
Konstantin Mischaikow Computer assisted proofs of chaotic dynamics in infinite dimensional systems
Gunter Ochs Attractors for random dynamical systems
Peter Polácik Nonclassical heteroclinic connections in a semilinear parabolic equation
Eiji Yanagida Monotonicity of stable solutions in shadow systems
Eiji Yanagida An instability criterion for a familiy of spatially periodic equilibria in gradient/skew-gradient systems

V.4 Spectral theory of differential operators

M. S. Agranovich Spectral boundary value problems for the Dirac system with spectral parameter in local boundary conditions
Tilo Arens Spectral properties of a class of integral operators on the real line in weighted spaces of continuous functions and L^p Spaces
Michael Demuth Stable spectra for the Bi-Laplacian
Yves Dermenjian Limit behaviour of the resolvent for vanishing obstacles
Tatiana Dudnikova On convergence to statistical equilibrium for discrete Klein-Gordon equation
Marc Durand Limiting absorption principle for coupled stratified operators
Rainer Hempel Spectral gaps for periodic operators with high contrast: an overview.
Hans-Christoph Kaiser Macroscopic current induced boundary conditions for Schrödinger-type operators
Herbert Koch Carleman estimates and unique continuation for nonsmooth elliptic pdes
Alexander Komech On transitions to stationary states for hamiltonian nonlinear partial differential equations
Evgeni Korotyaev Conformal mapping and trace formulas for the Schroedinger operator
Alexander Kozhevnikov Parabolic pseudodifferential initial-boundary value problems in complete scale of spaces
Vladimir Kozlov Spectral problems for corner singularities of solutions to the traction b.v.p. for anisotropic elasticity
Peter Kuchment Spectra of acoustic waves in thin high contrast domains
P.H. Lesky Spectral properties of certain differential operators in uniform waveguides
Robert McOwen Singular Sturm-Liouville theory on manifolds
Anatoli Merzon Shallow potential wells for the Schrödinger equation and water waves
Peter Zhevandrov and Anatoli Merzon Shallow potential wells for the Schroedinger equation and water waves
Yehuda Pinchover Liouville theorems for periodic elliptic equations.
Iosif Polterovich Heat equation on spheres: from geometric invariants to hypergeometric functions
Olaf Post Spectral gaps of the Laplacian on a covering manifolds and eigenvalues in a gap
Andrei A. Shkalikov Sturm-Liouville operators with potentials-distributions. Generalized Gelfand-Levitan trace formula.
Oleksiy Us L^p-uniqueness for perturbed Dirichlet operators
B. Vainberg First KdV Integrals and Absolutely Continuous Spectrum for 1-D Schrödinger Operator
Leonid Volevich The existence of resolvent sets for mixed order systems with general boundary conditions

V.5 Pseudodifferential operators, quantization and signal analysis

Paolo Boggiatto Anti-Wick quantization of tempered distributions
Hartmut Führ Continuous and discrete wavelet systems from cyclic representations
James S. Walker New methods in wavelet-based denoising

V.6 Integral equations and pseudodifferential equations

Said Mazouzi Explicit resolution of some singular integral equations via barycentric equations
Robert Plato The fast solution of periodic integral equations by conjugate gradient type methods
Nusrat Rajabov Volterra type linear integral equation with left and right fixed singular and super-singular points in kernels
Andrea Ziggioto Weyl formula for multi-quasi-elliptic operators of Schroedinger-type

V.7 Microlocal analysis

M. S. Agranovich Two spectral boundary value problems for equations of Schrödinger type with singular potentials
Marco Cappiello Pseudodifferential operators and spaces of type S
Matthias Hieber L^p-regularity theory for elliptic boundary value problems subject to general boundary conditions
G. Jaiani Boundary value problems for elastic bodies with singular boundaries
Alessandro Morando A class of L^p - bounded pseudodifferential operators
Michihiro Nagase Boundedness of pseudodifferential operators related to quantized Hamiltonians
B. Paneah First boundary problem for high order hyperbolic equations and related topics in analysis
Alberto Parmeggiani Spectral problems related to pseudodifferential operators
Petar R. Popivanov Nonlinear waves: creation, propogation, and blow-up
Michael Reissig Hyperbolic equations and superposition operators - new contributions to Gevrey analysis -
Nobuyuki Tose Second microlocalization with applications to hyerpolic problems
Leonid Volevich The Newton polygon and a general definition of parameter-elliptic (parabolic) systems

V.8 Complex and functional analytic methods in pdes

A.G. Aleksandrov Moduli of logarithmic connections along a free divisor
Grigor Barsegian To applied topics with ideas and methods of value distribution and G-lines
Heinrich Begehr Orthogonal decomposition in the unit disc
Robert Carroll Discretization and Moyal type brackets
Alberto Cialdea On the Dirichlet and Neumann problems for pluriharmonic functions
Dao-Qing Dai Some problems for complex differential equations
Jinyuan Du On the region for convergence of interpolation to analytic functions
A.S. Abd El-Rady On asymptotic properties in a neighborhood of infinity of generalized solutions of elliptic equations in unbounded regions
Valentina Golubeva On generalization of the Drinfeld-Kohno theorem
Valentina Golubeva Biquantization of Lie bialgebras of the B_n type
Sonnhard Graubner Optimization of fixed-point methods
Yasuo Hayashi A generalized Hitotumatu's system
M.R. Jabbarzadeh Local ultraing and peaking sets in operator algebras
M. Jahanshahi Determinig of an analytic function on its analytic domain by Cauchy-Riemann equation
Andreas Krausz Orthogonal decomposition in domains possessing a Green function
Nino Manjavidze Some boundary value problems of the theory of analytic functions on a cut plane
Alip Mohammed Schwarz problem for analytic functions in torus related domains
R. Ch. Mustafaev W_{[`p], w}^{m, 1} solvability of the first initial-boundary problem for parabolic equations
Sergei V. Rogosin Constructive methods for nonlinear boundary value problems for analytic functions
Y.N. Dehghan and E. Sadeghi Support sets and support functionals and their applications to C^*-algebras
Dzhuma Kh. Safarov The unitial boundary value problem for one non-classical system of equations of second order
Romen Semenovich Saks Generalized elliptic operators and some problems of mathematical physics
Romen Semenovich Saks On spectra of operator rotor
A.I. Sgibnev On the mixed problem for Laplace equation outside cuts placed along a circumference in a plane
Alexander Soldatov To the theory of elliptic boundary value problems on the plane
Wei Lin and Jicheng Tao Bergman function and Dirichlet problem in Clifford analysis
H. Vaezi Weighted composition operators which induces a generalization of the Schroeder equation
H. Vaezi Weighted composition operators which induces a generalization of the Schröder equation
Zeng Yuesheng The Haseman boundary value problem for bianalytic function
Nikolay Zhura To the theory of boundary value problems for system of principal type on the plane

V.9 Geometric properties of solutions of pdes

Carlos A. Berenstein Electrical Impedance Tomography is really tomography
Andrea Cianchi Symmetrization and second order Sobolev inequalities
Vincenzo Ferone Nonlinear problems having natural growth in the gradient
Antonio Greco Overdetermined problems in annular domains
Antoine Henrot Minimization problems for eigenvalues of the Laplacian-Dirichlet operator.
Bernd Kawohl Optimal constants and domain geometry
Rolando Magnanini Heat conductors with a stationary hot spot.
G. A. Philippin Decay estimates and comparison results for nonlinear parabolic problems
Wolfgang Reichel Nonexistence results for supercritical variational problems
Shigeru Sakaguchi Heat conductors with a stationary isothermic surface
Philip W. Schaefer On radial and non-entire solutions
Henrik Shahgholian Generalized mean value property for caloric functions
Boyan Sirakov Symmetry of positive solutions of cooperative elliptic systems in unbounded domains

V.10 Qualitative properties of solutions of hyperbolic and Schroedinger equations

Ruben Airapetyan (Hayrapetyan) Asymptotic solutions of some hyperbolic equations in complex frequency domain and inverse problems
Kiyoshi Asano Strong global solutions to the Boltzmann equation with an external field
Irina V. Astashova On qualitative properties and asymptotic behaviour of solutions to a non-linear one-dimensional Schroedinger equation
Antonio Bove Necessary condition for the well posedness of the Cauchy problem for hyperbolic systems
Daniela Calvo Multi-quasi-hyperbolic operators and systems
Q-Heung Choi The existence of solutions of nonlinear elliptic equations with jumping nonlinearity
Massima Cicognani Hyperbolic equations with non-absolutely continuous coefficients
Ferruccio Colombini Uniqueness of the solution for BV vector fields.
Piero D'Ancona Ill posedness results for the two dimensional wave maps equation
Daniel Gourdin Global smooth solutions for some non linear evolution systems
Toshihiko Hoshiro Global smoothing properties of dispersive equations with constant coefficients
Wataru Ichinose The convergence of the Feynman path integrals in the weighted Sobolev spaces and its application to functional path integrations
Tacksun Jung An application of a variational linking theorem to a nonlinear biharmonic equation
Kunihiko Kajitani Exponential time decay of solutions of Schrödinger equations
Hisako Kato The Navier-Stokes flows changing to non-Newtonian flows
Paola Marcolongo Non-s-solvability for powers of Mizohata type operators
Tokio Matsuyama Asymptotic behaviour os solutions to the nonlinear dissipative wave equations
Albert Milani Questions of global existence for quasilinear dissipative equations
Sadao Miyatake Hamilton flow and nonlinear hyperbolic equations of first order
Kiyoshi Mochizuki Inverse scattering for a small nonselfadjoint perturbation of the wave equation
Tokumori Nanbu On some decay estimates for some nonlinear degenerate diffusion equations
Tatsuo Nishitani Necessary conditions for local solvability for a class of differential systems
Bert-Wolfgang Schulze Edge Sobolev spaces and applications
Yasushi Shizuta Remarks on a quasi-linear hyperbolic mixed problem
Sergio Spagnolo Some local solvability results for partial differential systems
Kunihiko Kajitani and Giovanni Taglialatela The smoothing effect for Schrodinger type operators
Hiroshi Uesaka A pointwise oscillation property for semilinear wave equations with small initial data
Jean Vaillant Uniformly diagonalizable systems, reduced dimension and symmetric systems.
Ya-guang Wang Propagation of singularities for nonlinear hyperbolic-parabolic coupled systems
Masaru Yamaguchi IPVP for multi-dimensional wave equations with quasiperiodically oscillating boundaries
Luisa Zanghirati The Cauchy Problem for nonlinear weakly hyperbolic equations.Wellposedness and propagation of the analytic regularity.

VI.1 Homogenization, moving boundaries and porous media

Gang Bao Nonlinear Maxwell's equations in diffractive structures
I.V. Boikov Finite element method for solution singular integral equations
I.V. Boikov and A.I. Boikova Optimal methods for solution of elliptic equations
Moulay Mustapha Charafi Two-dimensional numerical modeling of a sedimentological analysis of a water point feasibility from a dam reservoir
Igor V. Andrianov and Vladyslav V. Danishevs'kyy Homogenization approach in mechanics of solids
Robert P. Gilbert Homogenizing the Seabed
Vladislav V. Kravchenko Quaternionic reformulation of Maxwell's equations for inhomogeneous media and new solutions
Kazuaki Nakane The Hyperbolic Free Boundary Problem Arising in Film Peeling Phenomena
I. S. Pop Homogenization of two-phase flow with trapping on the micro-scale
Jean E. Roberts Flow and transport of contaminants in a porous medium with faults
Mikhail E. Rychago On the homogenization of monotone operators
Kenji Tomoeda Support splitting phenomena of the solution to the porous media equation with absorption
Yu. A. Alkhutov and V. V. Zhikov On the Hölder Continuity of Solutions to Degenerate Elliptic Equations

VI.2 Constructure methods in applied problems

Robert Carroll Remarks on quantum transmutation
V.I. Gaidaenko Calculation of a stationary flow around a schematic vehicle with operating propulsion system
Natalia Gelfreikh High-frequency diffraction by a shell
T. Ha-Duong A Galerkin BEM method for transient acoustic scattering problem
Anders Jonsson Computation of stress fields on polygonal domains with V-notches or cracks
Boris S. Khots P-spaces applications to genetic data
Mirela Kohr Boundary integral method for an oscillatory Stokes flow past a solid particle
P.A. Krutitskii Method of integral equations for boundary value problems in cracked domains
Milan Kucera Bifurcations for variational inequalities and reaction-diffusion systems
Dagmar Medkova The oblique derivative problem for the Laplace equation
Vladimir V. Mityushev Constructive methods for nonlinear boundary value problems for analytic functions
Juri M. Rappoport Some numerical quadrature algorithms for the computation of Macdonald function
Saburou Saitoh Principle of telethoscope representing the solutions of partial differential equations by local data
Sergei Sazhin Analytical and numerical modelling of fuel sprays
A.I. Sgibnev The mixed problem for harmonic functions outside a cut of an arbitrary shape
A.O. Tchikilev Boundary value problems of magnetized semiconductors
Andrei O. Tchikilev Boundary value problems of magnetized semiconductors.
Kenichiro Umezu Bifurcation Analysis in Diffusive Logistic Equations with Nonlinear Boundary Conditions
V.P. Varin Variational equations of higher order as a tool for the analysis of degeneracies in ODE

VI.3 Hysteresis problems in applications

Antonio Desimone Domain patterns in soft ferromagnetic films
Peter Strehlow Rubber balloons - stability and hysteresis

VI.4 Pattern formation

Andrei Afendikov Spectral problem of stability of pulse solutions of the Ginzburg-Landau equation and its generalisations

VI.5 Waves in complex media

Louis Fishman Computational acoustics: computational PDEs, pseudodifferential equations, path integrals, and all that Jazz
Vladislav V. Kravchenko Quaternionic integral representations for electromagnetic fields in chiral media
William C. Meecham Random surface reflection using the Weiner stochastic expansion; Lambert law (diffuse) results

VI.6 Nonlinear waves

Rinaldo M. Colombo Phase transitions in hyperbolic conservation laws
M.D. Groves Modulating pulse solutions for a class of nonlinear wave equations
Frank Jochmann Asymptotic behavior of solutions to nonlinear polarization and magnetization models.
Ken-Ichi Nakamura Asymptotic behavior of solutions to a model of spiral crystal growth
Alexander Shermenev Nonlinear waves on a beach

VI.7 Mathematical analysis of problems in solid mechanics

Dechang Chen The mixed boundary value problem for nonlinear nondivergence elliptic systems of second order equations with measurable coefficients in higher dimensional domains
Chuan-Gan Hu Boundary value problems on product spaces
Xing Li Numerical results for the bonded problem of two anisotropic half planes
Patrizio Neff The role of an extended Korn´s first inequality in finite multiplicative elasto-plasticity.
Martin Schmidt-Baldassari Incremental variational principles in large strain damage mechanics
Florian Theil Mathematical framework for hysteretic behavior of continuum systems

VI.8 Direct and inverse scattering

Aria Abubakar Contrast source inversion method for binary objects
Johannes Elschner Inverse problems for scattering by periodic structures
Louis Fishman Directional wavefield decomposition, phase space, and path integral methods in seismo-acoustic inversion
Robert P. Gilbert Determining Osteoporosis by Ultrasound
P.A. Krutitskii Hypersingular integral equations no need in the Neumann problem in scattering theory
B. Kuhlmey Photonic crystals: modal theory of pc optical fibers and numerical application
George Pelekanos Comparison of modified gradient and contrast source inversion methods in elastodynamics
G. Pelekanost Comparison of modified gradient and contrast source inversion methods in elastodynamics
Nataliya P. Yashina Reconstruction of various materials' electromagnetic characteristics from the data of wave scattering in a waveguide: analytical regularization
Francesco Zirilli Furtivity problems in time dependent obstacle scattering

VI.9 Inverse problems

Gang Bao Recent studies of inverse medium problems
Gottfried Bruckner Reconstruction of a perfectly reflecting periodic grating profile
Jin Cheng, Masahiro Yamamoto, Jun Zou How the conditional stability guarantees reconstruction by the Tikhonov regularization? - a priori choice of paramaters and discretization
Abdellatif El-Badia Some inverse source problems and applications.
Abdellatif El-Badia Some inverse source problems and applications
Dominique Lesselier Low-frequency electromagnetic modeling and retrieval of simple orebodies in a conductive earth
Armand Wirgin A fast inverse scattering scheme for identifying inclusions and the shape of the boundary in/of a half space
Yongzhi Xu Imaging floating objects from underwater
Jin Cheng and Masahiro Yamamoto Conditional stability in line unique continuation for analytic elliptic partial differential equations
Volker Schulz and Masahiro Yamamoto Uniqueness in an inverse optics problem: transmission case
Jun Zou Numerical reconstruction of the initial temperature and heat radiative coefficient

VI.10 Inverse problems in medicine

<no abstracts>

VI.11 Mathematical methods in non-destructive evaluation and non-destructive testing

Dominique Lesselier On mathematical and computational issues in the electromagnetic inversion (TE mode) of buried objects by controlled evolutions of level sets
Yu. L. Menshikov Evaluation of rotor unbalance without tests

VI.12 Stochastic processes

Andrzej Ruszczynski Generalized concavity of discrete distributions and its applications in probabilistic programming

VI.13 Mathematical biology

Dirk Horstmann Non symmetric blow up for the Keller-Segel model in chemotaxis

VII.1 Numerical methods for pde's, systems and optimization

Adi Ben-Israel Directional Newton methods with applications to nonlinear equations and optimization
A.H.-D. Cheng Optimizing shape parameter in the multiquadric collocation solution of PDE
Ahmed Fathi Monte Carlo study of the magnetic properties of the semi-infinite mixed spin-1/2 and spin-1 Ising model with a Ferrimagnetic surface
Ismael Herrera Unified theory of domain decomposition methods
Mostafa Mjahed Flight autopilot design for a remotely piloted vehicle using LQ and feedback controller theories
Hidenori Ogata A charge simulation method for spatially periodic problems
Frederic Pascal On combining finite element methods and finite volume methods in C.F.D.
P.V. Subrahmanyam Generalized fuzzy Newton methods

VII.2 The analysis and computation of complex systems

I. Antoniou Spectral theory of dynamical systems
M. Hac Modelling of jet engine blades by finite element method
G. Lumer Laplace transforms and supports a general ïsotropic" theorem of Paley-Weiner type
Yu. Melnikov Approximation of N-dimensional Schroedinger operators by operators on embedded graphs
T. Nishimoto On the new phenomena of complex WKB method for higher order ordinary differential equation
G.F. Roach Wave Scattering and Resonances from Time Dependent Perturbations
S. Shkarin Spectral Analysis of Markov Operators
E. Yarevsky Spectral properties of the cusp map family

VII.3 Wavelets

Hans G. Feichtinger Modulation spaces and time-frequency based operator theory
Matthias Holschneider Asymptotic behaviour of the conformal representation of a Jordan domain with a small hole
Dieter Klusch Wavelet analysis and APS-index theory
Ognyan Kounchev Rotationally invariant wavelets and polysplines
Vladimir Protassov Infinite products of polynomials and smoothness of nonstationary wavelets
Anita Tabacco Anisotropic multilevel stabilization of convection-diffusion problems
Karsten Urban Wavelets in numerical simulation: problem adapted constructions and applications

VII.4 Computer algebra and computer analysis

Karin Gatermann Applications of SAGBI-bases to dynamics
Amparo Gil Computation of zeros and turning points of special functions
Sonnhard Graubner A special triangle
Evelyne Hubert Resolvent representation of differentially triangular systems
Ilias Kotsireas Symbolic and numeric implicitization of parametric curves, surfaces and hypersurfaces
Gerrard Liddell Canonicalization of tensor expressions
Elizabeth Mansfield Algorithms for symmetric differential systems
Mostafa Mjahed Linear and non-linear discriminant functions for the classification of high energy physics data
James Murdock An algorithm to produce normal form modules
Ulugbek Narzullaev Calculating of the cohomologies groups for the maximal abelian subgroups of the general linear group
Ioudu Natalia Groebner bases in algebras graded by right well ordered semigroups
Theodore Nikitopoulos Molecular conformation search by matrix perturbations
Jan Sanders The classification of integrable evolution equations using number theory
Fritz Schwarz Equivalence classes and symmetries of linear third order differential equations
Werner M. Seiler Completion to involution and the numerical integration of general systems of PDEs
Felix Ulmer Methods to compute properties of the differential Galois group of a given linear differential equation

Plenary Lectures

Alexander D. Bruno Power geometry as a new calculus
N.S. Bakhvalov and M.E. Eglit Homogenization of some multiparametric problems
Matts Essén Some results on Q spaces
Peter Kuchment Differential and pseudo-differential operators on graphs as models of mesoscopic systems
Vladimir Maz'ya The Schrödinger and the relativistic Schrödinger operators on the energy space: boundedness and compactness criteria
S. Nikol'skii Boundary problems and algebraic polynomials
Tatsuo Nishitani Hyperbolicity for systems
I. Antonion and I. Prigogine Irreversibility and the probabilistic description of unstable evolutions beyond the Hilbert Space framework
Saburou Saitoh Theory of reproducing kernels
Michael Singer Galois theory of linear differential equations with applications to Hamiltonian mechanics
Daniel Tataru The nonlinear wave equation

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