Browsing by Author "Wu, Chin-Chin"

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DEAD-CORE AT TIME INFINITY FOR A HEAT EQUATION WITH STRONG ABSORPTION
(2009-08-01)
Fu, Sheng-Chen
;
Guo, Jong-Shenq
;
Wu, Chin-Chin
;
應用數學系
;
Department of Applied Mathematics
We study an initial boundary value problem for a heat equation with strong absorption. We first prove that the solution of this problem stays positive for any finite time and converges to the unique steady state for a large class of initial data. This gives an example in which the dead-core is developed in infinite time. Then some estimates of the dead-core rate(s) are derived. Finally, we provide the uniformly exponential rate of convergence of the solution to the unique steady state.