Semilinear parabolic differential inclusions with one-sided Lipschitz nonlinearities

被引：0
|
作者：
Wolf-Jürgen Beyn
Etienne Emmrich
Janosch Rieger
机构：
[1] Bielefeld University,Department of Mathematics
[2] Technical University of Berlin,Institute of Mathematics
[3] Monash University,School of Mathematical Sciences
来源：
Journal of Evolution Equations | 2018年 / 18卷
关键词：
Analysis of partial differential inclusions; Semilinear parabolic inclusion; Relaxed one-sided Lipschitz condition; Galerkin method; Convergence of solution sets; Primary: 35R70; 65M60; Secondary: 35K20; 35K91; 49J53;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present an existence result for a partial differential inclusion with linear parabolic principal part and relaxed one-sided Lipschitz multivalued nonlinearity in the framework of Gelfand triples. Our study uses discretizations of the differential inclusion by a Galerkin scheme, which is compatible with a conforming finite element method, and we analyze convergence properties of the discrete solution sets.
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页码：1319 / 1339
页数：20
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