This article is cited in 2 papers

The boundary value problem for degenerate ultraparabolic equations of the Sobolev type

N. R. Pinigina

Chair of Higher Mathematics, North-Eastern Federal University, Yakutsk, Russia

Abstract: In this paper we study the first boundary value problem for a class of degenerate equations of the Sobolev type and prove existence and uniqueness theorems for regular solutions to the considered problem.

Keywords: boundary value problem, degenerate equation of Sobolev type, regular solutions, a priori estimates.

UDC: 517.956

Received: 01.04.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:4, 54–61

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