Mathematical Journal of Okayama University 59巻 1号
2017-01 発行

Blowup and global existence of a solution to a semilinear reaction-diffusion system with the fractional Laplacian

Kakehi, Tomoyuki Department of Mathematics, Okayama University
Oshita, Yoshihito Department of Mathematics, Okayama University
Publication Date
2017-01
Abstract
In this paper, we deal with the semilinear reaction diffusion system with the fractional Laplacian.

where p,q > 1 and 0 < α < 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.
Keywords
Reaction diffusion system
fractional Laplacian
global existence
blowup
life span