CLASSICAL PROBLEM FOR A PARABOLIC EQUATION OF SECOND ORDER IN A RECTANGULAR AREA

Lesev Vadim Nikolaevich1, Zheldasheva Anna Olegovna2
1Kabardino-Balkar State University Н.M. Berbekova, Candidate of Physics and Mathematics, Associate Professor, Head of the differential equations
2Kabardino-Balkar State University Н.M. Berbekova, Senior Lecturer, Department of Differential Equations

Abstract
We study the boundary value problem for a parabolic equation in a simply connected region. In cases of direct and inverse parabolic original equation, a priori estimates , semistrong guarantee the existence of solutions of the problem.

Keywords: energy inequality, parabolic equation, priori estimate


Category: 01.00.00 Physics and mathematics

Article reference:
Classical problem for a parabolic equation of second order in a rectangular area // Modern scientific researches and innovations. 2016. № 2 [Electronic journal]. URL: https://web.snauka.ru/en/issues/2016/02/64875

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