Fractional diffusion-wave equations: Hidden regularity for weak solutions-Reference-Cited by-同舟云学术

Fractional diffusion-wave equations: Hidden regularity for weak solutions

Published:2021-08-01 Issue:4 Volume:24 Page:1015-1034
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Loreti Paola¹,Sforza Daniela¹

Affiliation:

1. Dipartimento di Scienze di Base e Applicate per l’Ingegneria , Sapienza Università di Roma , Via Antonio Scarpa 16, 00161 , Roma , Italy

Abstract

Abstract We prove a “hidden” regularity result for weak solutions of time fractional diffusion-wave equations where the Caputo fractional derivative is of order α ∈ (1, 2). To establish such result we analyse the regularity properties of the weak solutions in suitable interpolation spaces.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2021-0044/pdf

Reference24 articles.

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