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Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition, II |
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| Authors: | LE Payne |
| Institution: | a Department of Mathematics, Cornell University, Ithaca, NY, 14853, USA b Département de Mathématiques et de Statistique, Université Laval, Québec, Canada, G1K 7P4 c Dipartimento di Matematica e Informatica, Viale Merello 92, 09123 Cagliari, Italy |
| Abstract: | This paper deals with the blow-up of the solution to a semilinear second-order parabolic equation with nonlinear boundary conditions. It is shown that under certain conditions on the nonlinearities and data, blow-up will occur at some finite time and when blow-up does occur upper and lower bounds for the blow-up time are obtained. |
| Keywords: | 35K55 35K60 |
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