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

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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>α</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.


  • Mathematical Journal of Okayama University

    Mathematical Journal of Okayama University 59(1), 175-218, 2017-01

    Department of Mathematics, Faculty of Science, Okayama University


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