Journal Article 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
In this paper, we deal with the semilinear reaction diffusion system with the fractional Laplacian.<br><img src=""><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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