Multi-valued parabolic variational inequalities and related variational-hemivariational inequalities. (English) Zbl 1304.35375
The authors consider multivalued parabolic variational inequalities over the underlying parabolic cylinder and over parts of the lateral parabolic boundary. First the existence of solutions is shown. Next some comparison results are developed. Finally some generalizations and applications are produced.
Reviewer: Leszek Gasiński (Kraków)
MSC:
| 35K86 | Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators |
| 47H04 | Set-valued operators |
| 35B51 | Comparison principles in context of PDEs |
Keywords:
upper semicontinuous multi-valued operator; pseudomonotone multi-valued operator; sub-supersolutionReferences:
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