Details
| Original language | English |
|---|---|
| Pages (from-to) | 444-462 |
| Number of pages | 19 |
| Journal | Bulletin of the London Mathematical Society |
| Volume | 57 |
| Issue number | 2 |
| Early online date | 11 Dec 2024 |
| Publication status | Published - 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 subject areas
- Mathematics(all)
- General Mathematics
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In: Bulletin of the London Mathematical Society, Vol. 57, No. 2, 06.02.2025, p. 444-462.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Global solutions for semilinear parabolic evolution problems with Hölder continuous nonlinearities
AU - Matioc, Bogdan Vasile
AU - Walker, Christoph
N1 - Publisher Copyright: © 2024 The Author(s). Bulletin of the London Mathematical Society is copyright © London Mathematical Society.
PY - 2025/2/6
Y1 - 2025/2/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85211475496&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2404.11089
DO - 10.48550/arXiv.2404.11089
M3 - Article
AN - SCOPUS:85211475496
VL - 57
SP - 444
EP - 462
JO - Bulletin of the London Mathematical Society
JF - Bulletin of the London Mathematical Society
SN - 0024-6093
IS - 2
ER -