Space-time discretization for nonlinear parabolic systems with $p$-structure

DOI10.1093/IMANUM/DRAA079arXiv2001.09888MaRDI QIDQ6333569

Publication date: 27 January 2020

Abstract: In this paper we consider nonlinear parabolic systems with elliptic part which can be also degenerate. We prove optimal error estimates for smooth enough solutions. The main novelty, with respect to previous results, is that we obtain the estimates directlywithout introducing intermediate semi-discrete problems. In addition, we prove the existence of solutions of the continuous problem with the requested regularity, if the data of the problem are smooth enough.

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

This page was built for publication: Space-time discretization for nonlinear parabolic systems with $p$-structure

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6333569)