A. F. Voronin, A. E. Kovtanyuk, M. M. Lavrent'ev, “The Riemann boundary value problem in research of well-posednes of linear and nonlinear mathematical physics problems”, Sib. Èlektron. Mat. Izv., 7 (2010), C.112

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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages C.112–C.122 (Mi semr274)

Proceedings of conferences

The Riemann boundary value problem in research of well-posednes of linear and nonlinear mathematical physics problems

A. F. Voronin^a, A. E. Kovtanyuk^b, M. M. Lavrent'ev^a

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia, Novosibirsk, Russia
^b Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia

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Abstract: In this paper, we are developing the criterion for canonical factorization ( for equality all partial indices are to zero) of matrix function for Riemann boundary value problem. We are consider the applications of Riemann boundary value problem for mathematical physics problems.

Keywords: Riemann problem, partial indices, matrix function, integral equation, convolution, system, well-posedness, mathematical physics problems, Cauchy-type singular integral equation.

Received March 4, 2010

Document Type: Article

UDC: 517.968, 517.544

MSC: 30E20, 45E05, 45E10, 45F15

Language: Russian

Citation: A. F. Voronin, A. E. Kovtanyuk, M. M. Lavrent'ev, “The Riemann boundary value problem in research of well-posednes of linear and nonlinear mathematical physics problems”, Sib. Èlektron. Mat. Izv., 7 (2010), C.112–C.122

Citation in format AMSBIB

\Bibitem{VorKovLav10}

\by A.~F.~Voronin, A.~E.~Kovtanyuk, M.~M.~Lavrent'ev

\paper The Riemann boundary value problem in research of well-posednes of linear and nonlinear mathematical physics problems

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

\yr 2010

\vol 7

\pages C.112--C.122

\mathnet{http://mi.mathnet.ru/semr274}

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https://www.mathnet.ru/eng/semr/v7/p112

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