Global existence of solutions to nonlinear dispersive wave equations

Nakao Hayashi; Seishirou Kobayashi; Pavel I. Naumkin

Global existence of solutions to nonlinear dispersive wave equations

Nakao Hayashi, Seishirou Kobayashi, Pavel I. Naumkin

研究成果: Article › 査読

抄録

We study the global existence of solutions to nonlinear dispersive wave equations ∂_t² u +1/ρ²|∂ _x|^2ρ u = Λ |∂_tu|^p-1 ∂_tu in one space dimension, where 0 < ρ ≤ 2; ρ≠ = 1; p > 3 and Λ ∈ C:.

本文言語	English
ページ（範囲）	685-698
ページ数	14
ジャーナル	Differential and Integral Equations
巻	25
号	7-8
出版ステータス	Published - 2012 7月 1
外部発表	はい

ASJC Scopus subject areas

分析
応用数学

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引用スタイル

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title = "Global existence of solutions to nonlinear dispersive wave equations",

abstract = "We study the global existence of solutions to nonlinear dispersive wave equations ∂t2 u +1/ρ2|∂ x|2ρ u = Λ |∂tu|p-1 ∂tu in one space dimension, where 0 < ρ ≤ 2; ρ≠ = 1; p > 3 and Λ ∈ C:.",

author = "Nakao Hayashi and Seishirou Kobayashi and Naumkin, {Pavel I.}",

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N2 - We study the global existence of solutions to nonlinear dispersive wave equations ∂t2 u +1/ρ2|∂ x|2ρ u = Λ |∂tu|p-1 ∂tu in one space dimension, where 0 < ρ ≤ 2; ρ≠ = 1; p > 3 and Λ ∈ C:.

AB - We study the global existence of solutions to nonlinear dispersive wave equations ∂t2 u +1/ρ2|∂ x|2ρ u = Λ |∂tu|p-1 ∂tu in one space dimension, where 0 < ρ ≤ 2; ρ≠ = 1; p > 3 and Λ ∈ C:.

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JO - Differential and Integral Equations

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Global existence of solutions to nonlinear dispersive wave equations

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