Exact boundary controllability of the nonlinear Schrodinger equation

被引：48
|
作者：
Rosier, Lionel [2 ]
Zhang, Bing-Yu [1 ]
机构：
[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA
[2] UMR 7502 UHP CNRS INRIA, Inst Elie Cartan, F-54506 Vandoeuvre Les Nancy, France
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 10期
关键词：
Schrodinger equation; Smoothing properties; Exact boundary controllability; DE-VRIES EQUATION; STABILIZATION;
D O I：
10.1016/j.jde.2008.11.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper Studies the exact boundary controllability of the semilinear Schrodinger equation posed on a bounded domain Omega subset of R-n with either the Dirichlet boundary conditions or the Neumann boundary conditions. It is shown that if s > n/2, or 0 <= s < n/2 with 1 <= n < 2 + 2s. or s = 0, 1 with n = 2, then the systems are locally exactly controllable in the classical Sobolev space H-s(Omega) around any smooth Solution of the cubic Schrodinger equation. Published by Elsevier Inc.
引用
收藏
页码：4129 / 4153
页数：25
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