Stabilization and Control for the Biharmonic Schrodinger Equation

被引：13
|
作者：
Capistrano-Filho, Roberto A. [1 ]
Cavalcante, Marcio [2 ]
机构：
[1] Univ Fed Pernambuco UFPE, Dept Matemat, BR-50740545 Recife, PE, Brazil
[2] Univ Fed Alagoas UFAL, Inst Matemat, Maceio, AL, Brazil
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2021年 / 84卷 / 01期
关键词：
Bourgain spaces; Exact controllability; Fourth order nonlinear Schrodinger; Propagation of compactness; Propagation of regularity; Stabilization; EXACT CONTROLLABILITY; WELL-POSEDNESS; GLOBAL-CONTROLLABILITY; BOUNDARY CONTROL; STABILITY;
D O I：
10.1007/s00245-019-09640-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to show the global stabilization and exact controllability properties of a fourth order nonlinear Schrodinger system on a periodic domain T with internal control supported on an arbitrary sub-domain of T. More precisely, by certain properties of propagation of compactness and regularity in Bourgain spaces, for the solutions of the associated linear system, we show that the system is globally exponentially stabilizable. This property together with the local exact controllability shows that fourth order nonlinear Schrodinger is globally exactly controllable.
引用
收藏
页码：103 / 144
页数：42
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