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., 2010, Volume 7,Pages <nobr>C.112

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

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.

UDC: 517.968, 517.544

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

Received March 4, 2010