Global solutions for semilinear parabolic evolution problems with Hölder continuous nonlinearities

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Bogdan Vasile Matioc
  • Christoph Walker

Organisationseinheiten

Externe Organisationen

  • Universität Regensburg
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Details

OriginalspracheEnglisch
Seiten (von - bis)444-462
Seitenumfang19
FachzeitschriftBulletin of the London Mathematical Society
Jahrgang57
Ausgabenummer2
Frühes Online-Datum11 Dez. 2024
PublikationsstatusVeröffentlicht - 6 Feb. 2025

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.

ASJC Scopus Sachgebiete

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Global solutions for semilinear parabolic evolution problems with Hölder continuous nonlinearities. / Matioc, Bogdan Vasile; Walker, Christoph.
in: Bulletin of the London Mathematical Society, Jahrgang 57, Nr. 2, 06.02.2025, S. 444-462.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Matioc BV, Walker C. Global solutions for semilinear parabolic evolution problems with Hölder continuous nonlinearities. Bulletin of the London Mathematical Society. 2025 Feb 6;57(2):444-462. Epub 2024 Dez 11. doi: 10.48550/arXiv.2404.11089, 10.1112/blms.13206
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