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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Vydané v:	Nonlinear analysis Ročník 69; číslo 2; s. 647 - 682
Hlavný autor:	Xue, Ruying
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier Ltd 15.07.2008 Elsevier
Predmet:	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
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Abstract	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.
AbstractList	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. 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 L2-based Sobolev space for . In addition, the mapping that associated to appropriate initial-boundary-data the corresponding solution is analytic as a function between appropriate Banach spaces.
Author	Xue, Ruying
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Cites_doi	10.2206/kyushujm.59.443 10.1081/PDE-120016157 10.1080/03605300600718503 10.1007/PL00000962 10.4310/MAA.2000.v7.n1.a9 10.1090/S0002-9947-01-02885-9 10.1088/0951-7715/17/3/010 10.1006/jdeq.1993.1108 10.1063/1.530829 10.1016/j.jmaa.2005.04.041 10.1007/BF01218475 10.1016/S0362-546X(96)00093-4
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Snippet	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,... 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,...
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SubjectTerms	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
Title	The initial-boundary-value problem for the “good” Boussinesq equation on the half line
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