Matioc, Bogdan-Vasile and Walker, Christoph (2025) Global solutions for semilinear parabolic evolution problems with Hölder continuous nonlinearities. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 57 (2). pp. 444-462. ISSN 0024-6093, 1469-2120
Full text not available from this repository. (Request a copy)Abstract
It is shown that semilinear parabolic evolution equations u '=Au+f(t,u)$u<^>{\prime }=Au+f(t,u)$ featuring H & ouml;lder continuous nonlinearities f=f(t,u)$ f=f(t,u)$ 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 Mar 2026 09:08 |
| Last Modified: | 17 Mar 2026 09:08 |
| URI: | https://pred.uni-regensburg.de/id/eprint/64475 |
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