Linear and quasilinear evolution equations in the context of weighted $$L

Linear and quasilinear evolution equations in the context of weighted $$L_p$$-spaces

Published:2023-11 Issue:5-6 Volume:121 Page:625-642
ISSN:0003-889X
Container-title:Archiv der Mathematik
language:en
Short-container-title:Arch. Math.

Author:

Wilke Mathias^ORCID

Abstract

AbstractIn 2004, the article Maximal regularity for evolution equations in weighted

$$L_p$$

L p -spaces by Prüss and Simonett (Arch Math 82:415–431, 2004) has been published in Archiv der Mathematik. We provide a survey of the main results of that article and outline some applications to semilinear and quasilinear parabolic evolution equations which illustrate their power.

Funder

Martin-Luther-Universität Halle-Wittenberg

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00013-023-01927-1.pdf

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