Year: 2014
Author: Jinhuan Wang, Liang Hong
Communications in Mathematical Research , Vol. 30 (2014), Iss. 2 : pp. 117–130
Abstract
This paper deals with a heat system coupled via local and localized sources subject to null Dirichlet boundary conditions. In a previous paper of the authors, a complete result on the multiple blow-up rates was obtained. In the present paper, we continue to consider the blow-up sets to the system via a complete classification for the nonlinear parameters. That is the discussion on single point versus total blow-up of the solutions. It is mentioned that due to the influence of the localized sources, there is some substantial difficulty to be overcomed there to deal with the single point blow-up of the solutions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2014.02.03
Communications in Mathematical Research , Vol. 30 (2014), Iss. 2 : pp. 117–130
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: coupled localized source coupled local source total blow-up single point blow-up blow-up set.