Convergence of double step scheme for a class of parabolic Clarke subdifferential inclusions
arXiv:2401.08656 · doi:10.1016/j.cnsns.2021.105940
Abstract
In this paper we deal with a first order evolution inclusion involving a multivalued term generated by a Clarke subdifferential of a locally Lipschitz potential. For this problem we construct a double step time-semidiscrete approximation, known as the Rothe scheme. We study a sequence of solutions of the semidiscrete approximate problems and provide its weak convergence to a limit element that is a solution of the original problem.
arXiv admin note: substantial text overlap with arXiv:2312.15723