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

P. Simon, Eötvös Loránd University, Budapest, Hungary
J. Hofbauer, University of Vienna, Vienna, Austria

E. J. Qualitative Theory of Diff. Equ., No. 8. (2001), pp. 1-9.

Abstract: 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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