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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2001-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=103 |