Numerical Analysis of equivariant evolution equations
17-023 Wolf-Jürgen Beyn, Etienne Emmrich, Janosch Rieger.
Semilinear Parabolic Differential Inclusions with One-sided Lipschitz Nonlinearities
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.
