On vanishing at space infinity for a semilinear heat equation with absorption

We consider a Cauchy problem for a semilinear heat equation with absorption. The initial datum of the problem is bounded and its infimum is positive. We study solutions which do not vanish in the total space at the vanishing time; they vanish only at space infinity.

Bibliographic Details
Main Author: Noriaki Umeda
Format: Article
Language:English
Published: Texas State University 2014-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/29/abstr.html