On ps(x)-Laplacian Parabolic Problems with Non-Globally Lipschitz Forcing Term

被引：9

作者：

Simsen, Jacson ^{[1
]}

Simsen, Mariza S. ^{[1
]}

Teixeira Primo, Marcos R. ^{[2
]}

机构：

[1] Univ Fed Itajuba, Inst Matemat & Comp, BR-37500903 Itajuba, MG, Brazil

[2] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2014年 / 33卷 / 04期

关键词：

Variable exponents; electrorheological fluids; p(s)(x)-Laplacian; parabolic problems; global attractors; upper semicontinuity; VARIABLE EXPONENT; UPPER SEMICONTINUITY; EXISTENCE; EQUATIONS; ATTRACTORS; BEHAVIOR; DENSITY;

D O I：

10.4171/ZAA/1522

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we prove continuity of solutions with respect to initial conditions and exponent parameters and we prove upper semicontinuity of a family of global attractors for problems of the form partial derivative u(s)/partial derivative t - div(vertical bar del u(s)vertical bar(p)((x)-2)(s)del u(s)) + f(x, u(s)) - g, where f : Omega X R -> R is a non-globally Lispchitz Caratheodory mapping, g is an element of L-2 (Omega), Omega is a bounded smooth domain in R-n, n >= 1 and p(s)(center dot) -> p in L-infinity(Omega) (p > 2 constant) as s goes to infinity.

引用

页码：447 / 462

页数：16

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