Semilinear Parabolic Differential Inclusions with One-sided Lipschitz Nonlinearities

Autor: Beyn, Wolf-Jürgen, Emmrich, Etienne, Rieger, Janosch
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 25 pages
Databáze: arXiv