We prove two maximal regularity results in spaces of continuous and Hölder continuous functions, for a linear Cauchy-Dirichlet problem with a fractional time derivative Dαt. This derivative is intended in the sense of Caputo and αis taken in (0, 2). In case α =1, we obtain maximal regularity results for parabolic problems already known in mathematical literature.
On maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivative / Guidetti, D.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 476:2(2019), pp. 637-664. [10.1016/j.jmaa.2019.04.004]
On maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivative
Guidetti, D.
2019
Abstract
We prove two maximal regularity results in spaces of continuous and Hölder continuous functions, for a linear Cauchy-Dirichlet problem with a fractional time derivative Dαt. This derivative is intended in the sense of Caputo and αis taken in (0, 2). In case α =1, we obtain maximal regularity results for parabolic problems already known in mathematical literature.File in questo prodotto:
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