On temporal regularity for strong solutions to stochastic p-Laplace systems

2021/11/18 by Wichmann, Jörn · 2 citations
#35B65 #35D35 #35K55 #35R60 (Primary) 35K65 #60H15 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2111.09601

Abstract

In this article we investigate the temporal regularity of strong solutions to the stochastic p-\comLaplace system in the degenerate setting, p ∈ [2,∞), driven by a multiplicative nonlinear stochastic forcing. We establish 1/2 time differentiability in an expontential Besov-Orlicz space for the solution process u. Furthermore, we prove 1/2 time differentiability of the nonlinear gradient |∇ u|^(p-2)/(2) ∇ u in a Nikolskii space.

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• Stochastic evolution equations with nonlinear diffusivity, recent progress and critical cases
• A Note on the failure of temporal regularity for stochastic PDEs

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