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

• Kakehi Tomoyuki

• Oshita Yoshihito

抄録

In this paper, we deal with the semilinear reaction diffusion system with the fractional Laplacian.<br> <img src="http://www.lib.okayama-u.ac.jp/www/mjou/mjou_59_175.png"><br> 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.

収録刊行物

• Mathematical Journal of Okayama University

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

  Department of Mathematics, Faculty of Science, Okayama University

キーワード

• Reaction diffusion system
• fractional Laplacian
• global existence
• blowup
• life span

詳細情報

• CRID: 1390009224823272064
• NII論文ID: 120005898816
• NII書誌ID: AA00723502
• ISSN: 00301566
• DOI: 10.18926/mjou/54723
• Web Site: https://ousar.lib.okayama-u.ac.jp/54723
• 本文言語コード: en
• データソース種別:
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