学術雑誌論文 Blowup and global existence of a solution to a semilinear reaction-diffusion system with the fractional Laplacian

Kakehi, Tomoyuki  ,  Oshita, Yoshihito

59 ( 1 )  , pp.175 - 218 , 2017-01 , Department of Mathematics, Faculty of Science, Okayama University
ISSN:0030-1566
NII書誌ID(NCID):AA00723502
内容記述
In this paper, we deal with the semilinear reaction diffusion system with the fractional Laplacian.<br><img src="http://www.lib.okayama-u.ac.jp/www/mjou/mjou_59_175.png"><br>where <i>p,q</i> > 1 and 0 < <i>&alpha;</i> < 1. We study the existence of a global in time solution, the blowup of a solution, and the life span of the blowup solution to the above reaction-diffusion system for sufficiently small initial data.
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http://ousar.lib.okayama-u.ac.jp/files/public/5/54723/20161221143819585603/mjou_059_175_218.pdf

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