On the Dead-Core Rates for a Parabolic Equation with Strong Absorption
by Jong-Shenq Guo  

Vol. 8 No. 4 (2013) P.431~P.444

ABSTRACT

In this survey, we discuss the dead-core rates for a family of parabolic equations with strong absorption. This includes the standard heat equation, fast diffusion equation and slow diffusion equation. It is surprising that, even in the case of one space dimension, the dead-core rate can be either self-similar or non-self-similar. Some open problems are also given.

KEYWORDS
dead-core, dead-core rate, strong absorption, self-similar, non-self-similar,

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35K20, 35K55, 35B40

MILESTONES

Received: 2013-03-19
Revised : 2013-08-07
Accepted: 2013-08-07

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