NONHOMOGENEOUS BOUNDARY VALUE PROBLEMS FOR THE KORTEWEG-DE VRIES EQUATION ON A BOUNDED DOMAIN

This paper studies an initial-boundary-value problem （IBVP） of the Korteweg-de Vries equation posed on a finite interval with general nonhomogeneous boundary conditions. Using the strong Kato smoothing property of the associated linear problem, the IBVP is shown to be locally well-posed in the space...

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Bibliographic Details
Published inJournal of systems science and complexity Vol. 23; no. 3; pp. 499 - 526
Main Authors Kramer, Eugene F., Zhang, Bingyu
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.06.2010
Subjects
Complex Systems
Control
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Statistics
Systems Theory
初始边界值问题
压缩映射原理
德弗里斯
有界域
有限区间
线性问题
非齐次边界条件
Korteweg-de Vries equation
KdV equation
well-posed
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ISSN1009-6124
1559-7067
DOI10.1007/s11424-010-0143-x

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Summary:This paper studies an initial-boundary-value problem （IBVP） of the Korteweg-de Vries equation posed on a finite interval with general nonhomogeneous boundary conditions. Using the strong Kato smoothing property of the associated linear problem, the IBVP is shown to be locally well-posed in the space Hs（0, 1） for any s ≥ 0 via the contraction mapping Principle.
Bibliography:Q754
O175.8
11-4543/O1
KdV equation, Korteweg-de Vries equation, well-posed.
ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-010-0143-x