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Yakutian Mathematical Journal, 2015, Volume 22, Issue 3, Pages 48–56 (Mi svfu69)

Mathematics

The recovery of parameters in boundary value problems for linear parabolic equations of fourth order

L. A. Telesheva

Buryat State University, Institute of Mathematics and Informatics, Ulan-Ude, Russia

Abstract: Existence of regular solutions of boundary value problems for parabolic equations of fourth order theorems are proved in this paper. For these problems are considered special cases, when either boundary conditions or the right-hand side contain the unknown parameters that only depends on a time variable. The overdetermination in the cases under consideration are conditions override integrated in the spatial domain or the conditions for the integral rewrite on the boundary of the spatial domain.

Keywords: parabolic equations, inverse problems, integral overdeterminantion, Fourier series, regular solutions, solvability.

UDC: 517.956

Received: 12.09.2015



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