このエントリーをはてなブックマークに追加
ID 54723
FullText URL
Author
Kakehi, Tomoyuki Department of Mathematics, Okayama University
Oshita, Yoshihito Department of Mathematics, Okayama University
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
Published Date
2017-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume59
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
175
End Page
218
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
Official Url
http://www.math.okayama-u.ac.jp/mjou/
language
English
Copyright Holders
Copyright©2017 by the Editorial Board of Mathematical Journal of Okayama University
File Version
publisher
Refereed
True
Submission Path
mjou/vol59/iss1/13
JaLCDOI