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...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	Nonlinear analysis Ročník 69; číslo 2; s. 647 - 682
Hlavní autor:	Xue, Ruying
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier Ltd 15.07.2008 Elsevier
Témata:	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
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Popis
Shrnutí:	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.
Bibliografie:	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