Abstract
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.
Citation
Sheng-Chen Fu. Jong-Shenq Guo. Chin-Chin Wu. "DEAD-CORE AT TIME INFINITY FOR A HEAT EQUATION WITH STRONG ABSORPTION." Taiwanese J. Math. 13 (4) 1213 - 1227, 2009. https://doi.org/10.11650/twjm/1500405503
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