Regularity in Sobolev spaces for doubly nonlinear parabolic equations

被引：6

作者：

Ebmeyer, C

Urbano, JM

机构：

[1] Univ Bonn, Math Seminar, D-53115 Bonn, Germany

[2] Univ Coimbra, Dept Matemat, P-3001454 Coimbra, Portugal

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 187卷 / 02期

关键词：

degenerate parabolic equation; porous medium equation; p-Laplacian; finite speed of propagation; difference quotient;

D O I：

10.1016/S0022-0396(02)00093-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The doubly nonlinear parabolic equation u(t) = div[\del(\u\(m-1)u)\(p-2)del(\u\(m-1)u)] (m > 1, m(p - 1) > 1) is considered in several dimensions and regularity results in fractional order Sobolev spaces are obtained. The main tools in the proof are a difference quotient technique and the imbedding theorem of Nikolskii spaces into Sobolev spaces. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：375 / 390

页数：16

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