Solvability of the Neumann problem for a Sobolev pseudoparabolic equation

A. B. Alshin, M. A. Istomina

Moscow State University, Lininskie gory, Moscow, 119992, Russia

Abstract: The dynamic potential constructed in this paper is used to analyze the existence of a classical solution to the Neumann problem for a Sobolev equation.

Key words: Sobolev pseudoparabolic equation, Neumann boundary value problem, solvability of problem, classical solution.

UDC: 519.633

Received: 26.12.2005

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:7, 1207–1215

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