Semilinear Parabolic Differential Inclusions with One-sided Lipschitz Nonlinearities
Analysis of PDEs
2017-10-31 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1710.10591,
title = {Semilinear Parabolic Differential Inclusions with One-sided Lipschitz Nonlinearities},
author = {Wolf-Jürgen Beyn and Etienne Emmrich and Janosch Rieger},
journal= {arXiv preprint arXiv:1710.10591},
year = {2017}
}
Comments
25 pages