Exponential decay bounds for nonlinear heat problems with Robin boundary conditions |
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Authors: | Monica Marras and Stella Vernier Piro |
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Affiliation: | (1) Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, FL 32611-8105, USA |
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Abstract: | We investigate the behavior of the solution of a nonlinear heat problem, when Robin conditions are prescribed on the boundary ∂Ω × (t > 0), Ω a bounded R 2 domain. We determine conditions on the geometry and data sufficient to preclude the blow up of the solution and to obtain an exponential decay bound for the solution and its gradient. |
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