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Register a new userThe parabolic p-Laplacian with fractional differentiability
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Added by
Lars Diening
Publication date
2020
fields
Informatics Engineering
and research's language is
English
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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 $tau$. The theoretical error analysis is complemented by numerical experiments.
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