Non-autonomous semilinear evolution equations with almost sectorial operators

被引：20

作者：

Carvalho, Alexandre N. ^{[1
]}

Dlotko, Tomasz ^{[2
]}

Nascimento, Marcelo J. D. ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil

[2] Silesian Univ, Inst Math, PL-40007 Katowice, Poland

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2008年 / 8卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

Non-autonomous semilinear parabolic problems; local existence; evolution processes of growth alpha; domains with a handle;

D O I：

10.1007/s00028-008-0394-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Inspired by the theory of semigroups of growth a, we construct an evolution process of growth alpha. The abstract theory is applied to study semilinear singular non-autonomous parabolic problems. We prove that. under natural assumptions. a reasonable concept of solution can be given to Such semilinear singularly non-autonomous problems. Applications are considered to non-autonomous parabolic problems in space of Holder continuous functions and to a parabolic problem in a domain Omega subset of R-n with a one dimensional handle.

引用

页码：631 / 659

页数：29

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