Boundary hemivariational inequality of parabolic type

被引：72

作者：

Migórski, S ^{[1
]}

Ochal, A ^{[1
]}

机构：

[1] Jagiellonian Univ, Fac Math & Comp Sci, Inst Comp Sci, PL-30072 Krakow, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 57卷 / 04期

关键词：

hemivariational inequalities; subdifferential; multifunction; nonconvex; semipermeability;

D O I：

10.1016/j.na.2004.03.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a parabolic hemivariational inequality with a nonmonotone multivalued boundary condition and with a time-dependent pseudomonotone operator. We establish the existence of solutions for such inequality. Our proof is based on a known surjectivity result for operators of pseudomonotone type. We present an example of semipermeability heat conduction problem to which the result applies. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：579 / 596

页数：18

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