È. V. Arbuzov, A. L. Bukhgeim, “About solving the Cauchy problem for secondorder elliptic equations in a planar domain using the Cauchy integral operator”, Sib. Èlektron. Mat. Izv., 7 (2010), C.173

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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages C.173–C.177 (Mi semr280)

Proceedings of conferences

About solving the Cauchy problem for secondorder elliptic equations in a planar domain using the Cauchy integral operator

È. V. Arbuzov^a, A. L. Bukhgeim^ab

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Wichita State University, Department of Mathematics and Statistics, USA

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Abstract: A Carleman type formula for the solution to the Cauchy problem for second-order elliptic equations in a planar domain is obtained.

Keywords: Cauchy problem, Caushy integral operator, second-order elliptic equations, Carleman formula.

Received March 5, 2010

Document Type: Article

UDC: 517.55

MSC: 35J25

Language: Russian

Citation: È. V. Arbuzov, A. L. Bukhgeim, “About solving the Cauchy problem for secondorder elliptic equations in a planar domain using the Cauchy integral operator”, Sib. Èlektron. Mat. Izv., 7 (2010), C.173–C.177

Citation in format AMSBIB

\Bibitem{ArbBuk10}

\by \`E.~V.~Arbuzov, A.~L.~Bukhgeim

\paper About solving the Cauchy problem for secondorder elliptic equations in a~planar domain using the Cauchy integral operator

\jour Sib. \`Elektron. Mat. Izv.

\yr 2010

\vol 7

\pages C.173--C.177

\mathnet{http://mi.mathnet.ru/semr280}

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https://www.mathnet.ru/eng/semr/v7/p173

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