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arXiv · 1710.10591

Semilinear Parabolic Differential Inclusions with One-sided Lipschitz Nonlinearities

Wolf-Jürgen Beyn·Etienne Emmrich·Janosch Rieger
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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.

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Wolf-Jürgen Beyn, Etienne Emmrich, Janosch Rieger. 2017-10-29. Semilinear Parabolic Differential Inclusions with One-sided Lipschitz Nonlinearities. https://arxiv.org/abs/1710.10591

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