Lower bounds for blow-up time in parabolic problems under Neumann conditions |
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Authors: | L E Payne |
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Institution: | Department of Mathematics , Cornell University , Ithaca, NY 14853, USA |
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Abstract: | We consider an initial boundary value problem for the semilinear heat equation under homogeneous Neumann boundary conditions in which the solution may blow up in finite time. A lower bound for the blow-up time is determined by means of a differential inequality argument when blow up occurs. Under alternative conditions on the nonlinearity, some additional bounds for blow-up time are also determined. |
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Keywords: | Blow-up Lower bounds Parabolic problems |
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