An existence theorem for parabolic equations on $R^N$ with discontinuous nonlinearity
P. Simon, Eötvös Loránd University, Budapest, Hungary E. J. Qualitative Theory of Diff. Equ., No. 8. (2001), pp. 1-9.
J. Hofbauer, University of Vienna, Vienna, Austria
Communicated by G. Makay. | Appeared on 2001-01-01 |
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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