INITIAL-BOUNDARY VALUE PROBLEMS FOR DEGENERATE HYPERBOLIC EQUATIONS

被引：3

作者：

Kozhanov, A., I ^{[1
]}

机构：

[1] Sobolev Inst Math, 4 Koptyuga Ave, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2021年 / 18卷

关键词：

hyperbolic equations; degeneration; initial-boundary value problems; regular solutions; existence;

D O I：

10.33048/semi.2021.18.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of the paper is to study solvability in Sobolev spaces initial-boundary value problems for differential equations u(tt) - phi(t)Au+ c(x, t)u = f (x, t) in which A is an elliptic operator acting in the spatial variables x(1),. . . ,x(n) and phi(t) is a non-negative function on the segment [0, T]. Existence theorems of regular solutions are proven. Some generalizations of the results are also described

引用

页码：43 / 53

页数：11

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