Aim of this paper is to investigate a class of quasilinear parabolic problems whose solutions may blow up at some finite time. We establish conditions on data sufficient to preclude blow up and to insure that the solution and its spatial gradient decay exponential for all t>0.
Blow up and decay bounds in quasilinear parabolic problems
MARRAS, MONICA;PIRO, STELLA
2007-01-01
Abstract
Aim of this paper is to investigate a class of quasilinear parabolic problems whose solutions may blow up at some finite time. We establish conditions on data sufficient to preclude blow up and to insure that the solution and its spatial gradient decay exponential for all t>0.
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