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 R2 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.
Exponential decay bounds for nonlinear heat problems with Robin boundary conditions
MARRAS, MONICA;PIRO, STELLA
2008-01-01
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 R2 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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