An existence theorem for parabolic equations on $R^N$ with discontinuous nonlinearity

Autor: Péter Simon, Josef Hofbauer
Jazyk: angličtina
Rok vydání: 2001
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2001, Iss 8, Pp 1-9 (2001)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2001.1.8
Popis: We prove existence of solutions for parabolic initial value problems $\partial_t u = \Delta u + f(u)$ on $R^N$ , where $f : R \rightarrow R$ is a bounded, but possibly discontinuous function.
Databáze: Directory of Open Access Journals