UNIQUENESS AND ASYMPTOTICS OF TRAVELING WAVES OF MONOSTABLE DYNAMICS ON LATTICES

Title	UNIQUENESS AND ASYMPTOTICS OF TRAVELING WAVES OF MONOSTABLE DYNAMICS ON LATTICES
Creator	Fu, Sheng-Chen 符聖珍 Guo, Jong-Shenq Chen, Xinfu
Contributor	應數系
Key Words	degenerate;lattice dynamics;monostable;traveling wave
Date	2006
Date Issued	1-Feb-2016 16:07:02 (UTC+8)
Summary	Established here is the uniquenes of solutions for the traveling wave problem cU′(x) = U(x+1)+U(x-1)-2U(x)+f(U(x)), x ∈ ℝ, under the monostable nonlinearity: f ∈ C¹ ([0, 1]), f(0) = f(1) = 0 < f(s) ∀ s ∈ (0, 1). Asymptotic expansions for U(x) as x → ∞, accurate enough to capture the translation differences, are also derived and rigorously verified. These results complement earlier existence and partial uniqueness/stability results in the literature. New tools are also developed to deal with the degenerate case f′(0)f′(1) = 0, about which is the main concern of this article.
Relation	SIAM Journal on Mathematical Analysis, 38(1), 233-258
Type	article
DOI	http://dx.doi.org/10.1137/050627824

dc.contributor	應數系	-
dc.creator (作者)	Fu, Sheng-Chen	-
dc.creator (作者)	符聖珍	zh_TW
dc.creator (作者)	Guo, Jong-Shenq	en_US
dc.creator (作者)	Chen, Xinfu	en_US
dc.date (日期)	2006	-
dc.date.accessioned	1-Feb-2016 16:07:02 (UTC+8)	-
dc.date.available	1-Feb-2016 16:07:02 (UTC+8)	-
dc.date.issued (上傳時間)	1-Feb-2016 16:07:02 (UTC+8)	-
dc.identifier.uri (URI)	http://nccur.lib.nccu.edu.tw/handle/140.119/81031	-
dc.description.abstract (摘要)	Established here is the uniquenes of solutions for the traveling wave problem cU′(x) = U(x+1)+U(x-1)-2U(x)+f(U(x)), x ∈ ℝ, under the monostable nonlinearity: f ∈ C¹ ([0, 1]), f(0) = f(1) = 0 < f(s) ∀ s ∈ (0, 1). Asymptotic expansions for U(x) as x → ∞, accurate enough to capture the translation differences, are also derived and rigorously verified. These results complement earlier existence and partial uniqueness/stability results in the literature. New tools are also developed to deal with the degenerate case f′(0)f′(1) = 0, about which is the main concern of this article.	-
dc.format.extent	263929 bytes	-
dc.format.mimetype	application/pdf	-
dc.relation (關聯)	SIAM Journal on Mathematical Analysis, 38(1), 233-258	-
dc.subject (關鍵詞)	degenerate;lattice dynamics;monostable;traveling wave	-
dc.title (題名)	UNIQUENESS AND ASYMPTOTICS OF TRAVELING WAVES OF MONOSTABLE DYNAMICS ON LATTICES	-
dc.type (資料類型)	article	-
dc.identifier.doi (DOI)	10.1137/050627824	-
dc.doi.uri (DOI)	http://dx.doi.org/10.1137/050627824	-