EXISTENCE AND UNIQUENESS OF SOLUTIONS TO DEGENERATE SEMILINEAR PARABOLIC EQUATIONS

被引：2

作者：

STAHEL, A

机构：

[1] Department of Mathematics, Brigham Young University, Provo

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1991年 / 93卷 / 02期

关键词：

D O I：

10.1016/0022-0396(91)90015-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An elementary proof for the existence of solutions to semilinear degenerate parabolic equations is given. The assumptions are such that solutions to approximating parabolic problems are a priori bounded in L∞. Then an Ascoli-Arzela argument is used. Under more restrictive conditions on the coefficients, uniqueness of the solutions is shown separately and a regularity result is provided. © 1991.

引用

页码：311 / 331

页数：21

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