Nonhomogeneous boundary value problems for the Korteweg-de Vries equation on a bounded domain

被引：20
|
作者：
Kramer, Eugene F. [1 ]
Zhang, Bingyu [2 ]
机构：
[1] Univ Cincinnati, Raymond Walters Coll, Dept Math Phys & Comp Sci, Cincinnati, OH 45236 USA
[2] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA
来源：
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2010年 / 23卷 / 03期
关键词：
KdV equation; Korteweg-de Vries equation; well-posed; DEVRIES EQUATION; GENERALIZED KORTEWEG; WELL-POSEDNESS; PERIODIC DOMAIN; KDV; CONTROLLABILITY; STABILIZATION; GENERATION; REGULARITY; INTEGRALS;
D O I：
10.1007/s11424-010-0143-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 H (s) (0, 1) for any s a parts per thousand yen 0 via the contraction mapping principle.
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页码：499 / 526
页数：28
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