Korteweg-de Vries-Burgers equation on a half-line with large initial data

Nakao Hayashi, Elena I. Kaikina, Hector F. Ruiz Paredes

研究成果: Article

2 引用 (Scopus)

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We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation equation presented We prove that if the initial data u0 ∈ H0,ω ∩ H0,ω, where ω ∈ (1/2, 3/2), then there exists a unique solution u ∈ C ([0,∞), H1,ω) of the initial-boundary value problem (0.1). Moreover if the initial data are such that x1+μu0(x) ∈ L1, μ = ω - 1/2, then there exists a constant A such that the solution has the following asymptotics equation presented for t → ∞ uniformly with respect to x > 0.

元の言語English
ページ(範囲)319-347
ページ数29
ジャーナルJournal of Evolution Equations
2
発行部数3
DOI
出版物ステータスPublished - 2002 12 1
外部発表Yes

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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