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On maximal regularity for the Cauchy-Dirichlet mixed parabolic problem with fractional time derivative. (arXiv:1807.05913v1 [math.AP])
来源于:arXiv
We prove two maximal regularity results in spaces of continuous and H\"older
continuous functions, for a mixed linear Cauchy-Dirichlet problem with a
fractional time derivative $\mathbb{D}_t^\alpha$. This derivative is intended
in the sense of Caputo and $\alpha$ is taken in $(0, 2)$. In case $\alpha = 1$,
we obtain maximal regularity results for mixed parabolic problems already known
in mathematica literature. 查看全文>>
