Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
ON A FAST DIFFUSION EQUATION WITH SOURCE
JONG-SHENQ GUOYUNG-JEN L. GUO
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2001 年 53 巻 4 号 p. 571-579

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We study in this paper the positive solution of the Cauchy problem for a fast diffusion equation with source. We derive a secondary critical exponent of the behavior of the initial value at infinity for the existence of global (in time) and nonglobal solutions of the Cauchy problem. Furthermore, the large time behaviors of those global solutions are also studied.
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© 2001 by THE TOHOKU UNIVERSITY
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