arXiv:1010.1443 Abstract | arXiv Analytics

arXiv:1010.1443 [math.AP]Abstract References Reviews Resources

The Fujita phenomenon in exterior domains under the Robin boundary conditions

Published 2010-10-07Version 1

The Fujita phenomenon for nonlinear parabolic problems dtu = \deltau + up in an exterior domain of RN under the Robin boundary conditions is investigated in the superlinear case. As in the case of Dirichlet boundary conditions, it turns out that there exists a critical exponent p = 1+2/N such that blow-up of positive solutions always occurs for subcritical exponents, whereas in the supercritical case global existence can occur for small non-negative initial data.

Comments: 9 pages

Categories: math.AP

Keywords: robin boundary conditions, fujita phenomenon, exterior domain, nonlinear parabolic problems dtu, dirichlet boundary conditions

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