Approximate solutions to the abstract Cauchy problem

被引：0

作者：

Bäumer, B ^{[1
]}

机构：

[1] Univ Nevada, Dept Math, Reno, NV 89557 USA

来源：

EVOLUTION EQUATIONS AND THEIR APPLICATIONS IN PHYSICAL AND LIFE SCIENCES | 2001年 / 215卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of approximate, continuous solutions to deal with Cauchy problems which have, in general, only distributional or other generalized solutions. We show the equivalence of this notion of solvability with the regularized solutions introduced by I. Cioranescu and G. Lumer. As an example, we show that the backwards heat equation in Omega subset of IRd is wellposed in the approximate (or regularized) sense if and only if d = 1.

引用

页码：33 / 41

页数：9

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