Global solutions for semilinear parabolic evolution problems with H\'older continuous nonlinearities
- Resource Type
- Working Paper
- Authors
- Matioc, Bogdan-Vasile; Walker, Christoph
- Source
- Subject
- Mathematics - Analysis of PDEs
- Language
It is shown that semilinear parabolic evolution equations $u'=A+f(t,u)$ featuring H\"older continuous nonlinearities $ 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.
Comment: 15 pages