Blow up and decay bounds in quasilinear parabolic problems
Monica Marras, Stella Vernier Piro · 2007
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 exponentially for all t> 0.