TY  - GEN
AB  - We study the parabolic p-Laplacian system in a bounded domain. We deduce optimal convergence rates for the space-time discretization based on an implicit Euler scheme in time. Our estimates are expressed in terms of Nikolskii spaces and therefore cover situations when the (gradient of) the solution has only fractional derivatives in space and time. The main novelty is that, different to all previous results, we do not assume any coupling condition between the space and time resolution h and τ. The theoretical error analysis is complemented by numerical experiments.
DA  - 2020
KW  - Parabolic PDEs
KW  - Nonlinear Laplace-type systems
KW  - Finite element methods
KW  - Space-time discretization
KW  - p-heat equation
LA  - eng
PY  - 2020
TI  - The parabolic p-Laplacian with fractional differentiability
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-29432896
Y2  - 2024-11-21T19:16:07
ER  -