Finite time dead-core rate for the heat equation with a strong absorption

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概要

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• We study the solution of the heat equation with a strong absorption. It is well-known that the solution develops a dead-core in finite time for a large class of initial data. It is also known that the exact dead-core rate is faster than the corresponding self-similar rate. By using the idea of matching, we formally derive the exact dead-core rates under a dynamical theory assumption. Moreover, we also construct some special solutions for the corresponding Cauchy problem satisfying this dynamical theory assumption. These solutions provide some examples with certain given polynomial rates.

• 東北大学の論文

著者

• Guo Jong-shenq

  Departemt Of Mathematics National Taiwan Normaluniversity

• Wu Chin-chin

  Department Of Mathematics National Taiwan Normal University

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