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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 the Maxwell's system in the form of Hadamard's expansion
by
Ali Sevimlican
Department of Mathematics, Dokuz Eylul University, Izmir, Turkey
Coauthors: Valery G. Yakhno(Department of Mathematics, Dokuz Eylul University, Izmir, Turkey)

Maxwell's system of the partial differential equations is main object of this talk. Electric and magnetic permeabilities are assumed here constants, and the conductivity is a matrix. Elements of the conductivity-matrix are functions depending on space variables. The construction of the fundamental solution of the Cauchy problem for this Maxwell system in the form of Hadamard's expansion is the basic result of the presented talk. The result of this talk continues the investigation of the papers [1, 2].

[1] Romanov V.G. Structure of the fundamental solution of the Cauchy problem for Maxwell system of equations , Differential Equations, vol.10, N9, 1986, pp. 1577-1587.

[2] Yakhno V.G. Direct and Inverse Problems for Maxwell's System, Inverse problems, Institute of Physics publishing, England (presented to publish).

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-41.