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

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

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.

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Veröffentlicht in:Electronic journal of qualitative theory of differential equations 2001, Vol.2001 (8), p.1-9
Hauptverfasser: Simon, Peter, Hofbauer, Josef
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2001.1.8