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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 448–455 (Mi semr119)  
This article is cited in 2 scientific papers (total in 2 papers)

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The Carleman formula for the Maxwell’s equations on a plane

È. V. Arbuzova, A. L. Bukhgeimab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Wichita State University, Department of Mathematics and Statiatics
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Abstract: We consider the Cauchy problem for second-order elliptic equations in an arbitrary bounded planar domain with Cauchy data only on a part of the boundary of the domain. We derive a Carleman-type formula for a solution to this problem and give a conditional stability estimate. Then the result is applied to Maxwell's system.
Keywords: Cauchy problem, second-order elliptic equations, Carleman formula, Maxwell's system.
Received July 1, 2008, published November 24, 2008
Bibliographic databases:
Document Type: Article
UDC: 517.55
MSC: 35J25
Language: Russian
Citation: È. V. Arbuzov, A. L. Bukhgeim, “The Carleman formula for the Maxwell’s equations on a plane”, Sib. Èlektron. Mat. Izv., 5 (2008), 448–455
Citation in format AMSBIB
\Bibitem{ArbBuk08}
\by \`E.~V.~Arbuzov, A.~L.~Bukhgeim
\paper The Carleman formula for the Maxwell’s equations on a~plane
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 448--455
\mathnet{http://mi.mathnet.ru/semr119}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586649}
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    • This publication is cited in the following 2 articles:
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