EXPONENTIAL STABILITY FOR THE DEFOCUSING SEMILINEAR SCHRODINGER EQUATION WITH LOCALLY DISTRIBUTED DAMPING ON A BOUNDED DOMAIN

被引：0
|
作者：
Bortot, Cesar Augusto [1 ]
Correa, Wellington Jose [2 ]
机构：
[1] Univ Fed Santa Catarina, Engn Ctr Mobil, Campuses Joinville, BR-89218000 Joinville, SC, Brazil
[2] Fed Technol Univ Parana, Acad Dept Math, Campuses Campo Mourao, BR-87301899 Campo Mourao, PR, Brazil
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2018年 / 31卷 / 3-4期
关键词：
UNIFORM DECAY-RATES; WELL-POSEDNESS; GLOBAL-CONTROLLABILITY; STABILIZATION; ENERGY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the exponential stability for the semi linear defocusing Schrodinger equation with locally distributed damping on a bounded domain Omega subset of R-n with smooth boundary partial derivative Omega. The proofs are based on a result of unique continuation property due to Cavalcanti et al. [15] and on a forced smoothing effect due to Aloui [2] combined with ideas from Cavalcanti et. al. [15], [16] adapted to the present context.
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页码：273 / 300
页数：28
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