On maximal regularity for the Cauchy-Dirichlet mixed parabolic problem with fractional time derivative

2018/07/16 by Guidetti, Davide · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.05913

Abstract

We prove two maximal regularity results in spaces of continuous and Hölder continuous functions, for a mixed linear Cauchy-Dirichlet problem with a fractional time derivative \mathbbD_t^α. This derivative is intended in the sense of Caputo and α is taken in (0, 2). In case α= 1, we obtain maximal regularity results for mixed parabolic problems already known in mathematica literature.

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