Some problems for nonlinear pseudoparabolic equations in nontube domains

被引：0

作者：

Glazatov, S. N. ^{[1
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2007年 / 48卷 / 02期

关键词：

nonlinear pseudoparabolic equation; nontube domain; first initial-boundary value problem; weak solution; variational inequality; penalty method;

D O I：

10.1007/s11202-007-0023-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove existence and uniqueness of a weak solution to the first initial-boundary value problem for some class of quasilinear pseudoparabolic equations in nontube domains. Also, we study unique solvability in these domains for the variational inequality connected with the above class of equations.

引用

页码：214 / 228

页数：15

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