Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842127 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 8 Pages |
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.
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Authors
L.E. Payne, G.A. Philippin, S. Vernier Piro,