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Roland Duduchava gave a talk in Aveiro

REF. DATE:29 September 2009 CREATED/MODIFIED: 10 October 2015 7,235 views No Comment

roland

01/10/2009

On the uniqueness of a solution to anisotropic Maxwell’s equations
Roland Duduchava (A. Razmadze Mathematical Institute, Tbilisi, Georgia)

Abstract: In this talk we consider Maxwell’s equations in an anisotropic media, when the dielectric per mit tivity and the magnetic permeability are 3 x 3 matrices. We formulate relevant boundary value prob lems, investigate a fundamental solution and find a Silver-Mueller type radiation condition at infinity which ensures the uniqueness of solutions when permittivity and permeability matrices are real valued, symmetric, positive definite and proportional. The talk is based upon joint work with T. Buchukuri, D. Kapanadze and D. Natroshvili.

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