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https://ah.lib.nccu.edu.tw/handle/140.119/81031
題名: | UNIQUENESS AND ASYMPTOTICS OF TRAVELING WAVES OF MONOSTABLE DYNAMICS ON LATTICES | 作者: | Fu, Sheng-Chen 符聖珍 Guo, Jong-Shenq Chen, Xinfu |
貢獻者: | 應數系 | 關鍵詞: | degenerate;lattice dynamics;monostable;traveling wave | 日期: | 2006 | 上傳時間: | 1-Feb-2016 | 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. | 關聯: | SIAM Journal on Mathematical Analysis, 38(1), 233-258 | 資料類型: | article | DOI: | http://dx.doi.org/10.1137/050627824 |
Appears in Collections: | 期刊論文 |
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