Global solutions for semilinear parabolic evolution problems with Hölder continuous nonlinearities

authored by

Bogdan Vasile Matioc, Christoph Walker

Abstract

It is shown that semilinear parabolic evolution equations (Formula presented.) featuring Hölder continuous nonlinearities (Formula presented.) with at most linear growth possess global strong solutions for a general class of initial data. The abstract results are applied to a recent model describing front propagation in bushfires and in the context of a reaction–diffusion system.

Organisation(s)

Institute of Applied Mathematics

External Organisation(s)

University of Regensburg

Type

Article

Journal

Bulletin of the London Mathematical Society

Volume

57

Pages

444-462

No. of pages

19

ISSN

0024-6093

Publication date

06.02.2025

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

General Mathematics

Electronic version(s)

https://doi.org/10.48550/arXiv.2404.11089 (Access: Open)
https://doi.org/10.1112/blms.13206 (Access: Open)