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
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页码：43 / 53
页数：11
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