On small amplitude solutions to the generalized boussinesq equations

Yonggeun Cho; Tohru Ozawa

doi:10.3934/dcds.2007.17.691

On small amplitude solutions to the generalized boussinesq equations

Yonggeun Cho^*, Tohru Ozawa

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

55 Citations (Scopus)

Abstract

We study the existence and scattering of global small amplitude solutions to generalized Boussinesq (Bq) and improved modified Boussinesq (imBq) equations with nonlinear term f(u) behaving as a power u^p as u → 0 in ℝ, n ≥1.

Original language	English
Pages (from-to)	691-711
Number of pages	21
Journal	Discrete and Continuous Dynamical Systems
Volume	17
Issue number	4
DOIs	https://doi.org/10.3934/dcds.2007.17.691
Publication status	Published - 2007 Apr
Externally published	Yes

Keywords

Generalized Bq and imBq equations
Global existence
Scattering
Small amplitude solution

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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title = "On small amplitude solutions to the generalized boussinesq equations",

abstract = "We study the existence and scattering of global small amplitude solutions to generalized Boussinesq (Bq) and improved modified Boussinesq (imBq) equations with nonlinear term f(u) behaving as a power up as u → 0 in ℝ, n ≥1.",

keywords = "Generalized Bq and imBq equations, Global existence, Scattering, Small amplitude solution",

author = "Yonggeun Cho and Tohru Ozawa",

year = "2007",

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doi = "10.3934/dcds.2007.17.691",

language = "English",

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AU - Ozawa, Tohru

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AB - We study the existence and scattering of global small amplitude solutions to generalized Boussinesq (Bq) and improved modified Boussinesq (imBq) equations with nonlinear term f(u) behaving as a power up as u → 0 in ℝ, n ≥1.

KW - Generalized Bq and imBq equations

KW - Global existence

KW - Scattering

KW - Small amplitude solution

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On small amplitude solutions to the generalized boussinesq equations

Abstract

Keywords

ASJC Scopus subject areas

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