Solutions and Periodic Solutions for Nonlinear Evolution Equations with Non-Monotone Perturbations

被引：0

作者：

Avgerinos, E. P. ^{[1
]}

Papageorgiou, N. S. ^{[2
]}

机构：

[1] Univ Aegean, Div Math, Dept Educ, Rhodes 85100, Greece

[2] Nat Techn Univ, Dept Math, Athens 15780, Greece

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 1998年 / 17卷 / 04期

关键词：

Evolution triples; compact embeddings; coercive operators; pseudomonotone operators; L-pseudomonotone operators; surjectivity results; demicontinuity; parabolic problems;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we solve periodic and Cauchy problems for nonlinear evolution equations driven by time-dependent, pseudomonotone operators and a non-monotone perturbation term. Our proof produces as a by-product a useful property of the solution map for maximal monotone problems. Two examples of nonlinear parabolic problems illustrate the applicability of our work.

引用

页码：859 / 875

页数：17

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