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http://dx.doi.org/10.12941/jksiam.2012.16.4.235

BLOW UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR THE NONLOCAL SEMILINEAR HEAT EQUATION  

Fang, Zhong Bo (SCHOOL OF MATHEMATICAL SCIENCES, OCEAN UNIVERSITY OF CHINA)
Sun, Lu (SCHOOL OF MATHEMATICAL SCIENCES, OCEAN UNIVERSITY OF CHINA)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.16, no.4, 2012 , pp. 235-242 More about this Journal
Abstract
In this paper, we investigate a nonlocal semilinear heat equation with homogeneous Dirichlet boundary condition in a bounded domain, and prove that there exist solutions with positive initial energy that blow up in finite time.
Keywords
nonlocal semilinear heat equation; blow-up; positive initial energy;
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