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

页码：4129 / 4153

页数：25

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