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Lower bounds for the blow-up time in a non-local reaction diffusion problem under nonlinear boundary conditions. (English) Zbl 1305.35094

Summary: This paper deals with the blow-up of the solution to a non-local reaction diffusion problem under nonlinear boundary conditions. Lower bounds for blow-up time are derived when the blow-up does occur.

MSC:

35K61 Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations
35K91 Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian
35B44 Blow-up in context of PDEs
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