ASYMPTOTIC BEHAVIOR OF ENTIRE SOLUTIONS TO REACTION-DIFFUSION EQUATIONS IN AN INFINITE STAR GRAPH

Jimbo, Shuichi; Morita, Yoshihisa

Discrete and Continuous Dynamical Systems, 2021, 41(9), 4013-4039

Permalink : https://hdl.handle.net/2115/81727

このアイテムのアクセス数:426件（2026-08-27 04:54 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
https://doi.org/10.3934/dcds.2021026			38

アクセス権	open access
URI	https://hdl.handle.net/2115/81727
タイトル	ASYMPTOTIC BEHAVIOR OF ENTIRE SOLUTIONS TO REACTION-DIFFUSION EQUATIONS IN AN INFINITE STAR GRAPH
著者	e-Rad_Researcher 80201565 著者名 Jimbo, Shuichi
著者	著者名 Morita, Yoshihisa
言語	英語
キーワード	Reaction-diffusion equation
	bistable nonlinearity
	entire solution
	traveling wave
	front propagation
発行日	2021-09
出版者	American Institute of Mathematical Sciences (AIMS)
収録物名	Discrete and Continuous Dynamical Systems
巻(号)	41(9)
ページ	4013-4039
抄録	We deal with the bistable reaction-diffusion equation in an infinite star graph, which consists of several half-lines with a common end point. The aim of our study is to show the existence of front-like entire solutions together with the asymptotic behaviors as t -> +/-infinity and classify the entire solutions according to their behaviors, where an entire solution is meant by a classical solution defined for all t is an element of(-infinity,infinity). To this end, we give a condition under that the front propagation is blocked by the emergence of standing stationary solutions. The existence of an entire solution which propagates beyond the blocking is also shown.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
PISSN	1078-0947
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.3934/dcds.2021026