Parabolic problems with nonlinear boundary conditions and critical nonlinearities

被引：124

作者：

Arrieta, JM ^{[1
]}

Carvalho, AN

Rodríguez-Bernal, A

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Matemat Aplicada, E-28040 Madrid, Spain

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1999年 / 156卷 / 02期

关键词：

D O I：

10.1006/jdeq.1998.3612

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

We prove existence, uniqueness and regularity of solutions For heat equations with nonlinear boundary conditions. We study these problems with initial data in L-q(Omega), W-1,W-q(Omega), 1 < q < infinity or measures and with critically growing non-linearities. (C) 1999 Academic Press.

引用

页码：376 / 406

页数：31

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