| 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 |