Hölder continuity of weak solutions to evolution equations with distributed order fractional time derivative-Reference-Cited by-同舟云学术

Hölder continuity of weak solutions to evolution equations with distributed order fractional time derivative

Published:2024-02-21 Issue: Volume: Page:
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Kubica Adam,Ryszewska Katarzyna,Zacher Rico^ORCID

Abstract

AbstractWe study the regularity of weak solutions to evolution equations with distributed order fractional time derivative. We prove a weak Harnack inequality for nonnegative weak supersolutions and Hölder continuity of weak solutions to this problem. Our results substantially generalise analogous known results for the problem with single order fractional time derivative.

Funder

Universität Ulm

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00208-024-02806-y.pdf

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