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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:476

Article

Guidetti, Davide¹ 

[1] Univ Bologna, Dipartimento Matemat, Piazza Porta S Donato 5, I-40126 Bologna, Italy

关键词: Fractional time derivatives;    Cauchy-Dirichlet problem;    Maximal regularity;   

DOI  :  10.1016/j.jmaa.2019.04.004

来源: Elsevier

【 摘 要 】

We prove two maximal regularity results in spaces of continuous and Holder continuous functions, for a linear Cauchy-Dirichlet problem with a fractional time derivative 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 parabolic problems already known in mathematical literature. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free