The initial-boundary-value problem for the “good” Boussinesq equation on the half line

Studied here is an initial-boundary-value problem for the “good” Boussinesq equation on the half line. It is shown that this initial-boundary-value problem, when the initial-boundary-data satisfy certain compatible conditions, is well-posed in the L 2 -based Sobolev space H s ( R + ) for s > 1 2...

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Bibliographic Details
Published in:Nonlinear analysis Vol. 69; no. 2; pp. 647 - 682
Main Author: Xue, Ruying
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Ltd 15.07.2008
Elsevier
Subjects:
Boussinesq equation
Exact sciences and technology
Existence
Initial-boundary-value problem
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, boundary value problems
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
Initial-boundary-value problem
35G30
Boussinesq equation
35Q35
Existence
Boundary value problem
Initial value problem
Nonlinear analysis
Mathematical model
ISSN:0362-546X, 1873-5215
Online Access:Get full text
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Summary:Studied here is an initial-boundary-value problem for the “good” Boussinesq equation on the half line. It is shown that this initial-boundary-value problem, when the initial-boundary-data satisfy certain compatible conditions, is well-posed in the L 2 -based Sobolev space H s ( R + ) for s > 1 2 . In addition, the mapping that associated to appropriate initial-boundary-data the corresponding solution is analytic as a function between appropriate Banach spaces.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2007.06.010