The heat equation in Lq((O, T), Lp)-spaces with weights

被引：45

作者：

Krylov, NV ^{[1
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2001年 / 32卷 / 05期

关键词：

Sobolev spaces with weights; parabolic equations;

D O I：

10.1137/S0036141000372039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence and uniqueness theorems are presented for the heat equation in L-p-spaces with or without weights allowing derivatives of solutions to blow up near the boundary. It is allowed for the powers of summability with respect to space and time variables to be different.

引用

页码：1117 / 1141

页数：25

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