Screen type mixed boundary value problems for anisotropic pseudo-Maxwell’s equations-Reference-Cited by-同舟云学术

Screen type mixed boundary value problems for anisotropic pseudo-Maxwell’s equations

Published:2016-12-01 Issue:4 Volume:23 Page:511-518
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
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Author:

Chkadua Otar¹,Duduchava Roland²,Kapanadze David³

Affiliation:

1. 1A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 6 Tamarashvili Str., Tbilisi 0177; and Sokhumi State University, 9 A. Politkovskaia St., Tbilisi 0186, Georgia

2. 2A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 6 Tamarashvili Str., Tbilisi 0177, Georgia

3. 3A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 6 Tamarashvili Str., Tbilisi 0177, Georgia

Abstract

AbstractWe investigate screen type mixed boundary value problems for anisotropic pseudo-Maxwell’s equations. We show that the problems with tangent traces are well posed in tangent Sobolev spaces. The unique solvability results are proven based on the potential method and coercivity result of Costabel on the bilinear form associated with pseudo-Maxwell’s equations.

Funder

Shota Rustaveli National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/23/4/article-p511.xml

Reference28 articles.

1. Scattering of an electromagnetic wave by a screen;Boundary Value Problems and Integral Equations in Nonsmooth Domains,1995

2. Screen type problems for anisotropic pseudo-Maxwell’s equations;Ann. Funct. Anal.,2016

3. The Green formula and layer potentials;Integral Equations Operator Theory,2001