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International Conference on Mathematical Modeling and Scientific Computing
April 2-6, 2001
Middle East Technical University and Selcuk University
Ankara and Konya, Turkey

Organizers
F. Bornemann (Munich University of Tecnology, Germany), H. Bulgak (Selcuk University, Konya, Turkey), V. Ganzha (Munich University of Technology, Germany), B. Karasozen (METU, Ankara, Turkey), A. Sinan (Selcuk University, Konya, Turkey), C. Zenger (Munich University of Technology, Germany)

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Fundamental solution of the Cauchy problem for acoustic equation in the form of asymtotic, ray, Hadamard expansion
by
Faruk Uygul
Department of Mathematics, Dokuz Eylul University, Izmir, Turkey
Coauthors: Valery G. Yahkno(Department of Mathematics, Dokuz Eylul University, Izmir, Turkey)

Main object of this talk is the acoustic equation. Coeefficents of this equation are functions of space variables. The construction of the fundemental solution of the Cauchy problem for the acoustic equation in the form of asymptotic, ray, Hadamard expansions is the basic result of the presented talk. The results of this talk continue the investigation of the works [1-3].

[1] Babich V.M. The Higher-Dimensional WKB Method or Ray Method. Its analogues and generalizations, Partial Differential Equations, series of Encyclopaedia of Mathematical Sciences, Volume 34, editor Feduryuk M.V. Springer-Verlag, Berlin, 1999 , pp. 91-132.

[2] Romanov V.G. Inverse problems of mathematical physics, Utrecht VNU, Science Press, 1987.

[3] Yakhno V.G. Multidimensional Inverse Problem for the Acoustic Equation in the Ray Statement, Inverse problems in Unerwater Acoustics (editors M.I. Taroudakis, G.N. Makrakis), Springer-Verlag, New York, 2001.

Date received: February 12, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagk-42.