Exponential Decay for the Schrodinger Equation on a Dissipative Waveguide

被引：9
|
作者：
Royer, Julien [1 ]
机构：
[1] Inst Math Toulouse, F-31062 Toulouse 09, France
来源：
ANNALES HENRI POINCARE | 2015年 / 16卷 / 08期
关键词：
LOCAL ENERGY DECAY; STABILIZATION;
D O I：
10.1007/s00023-014-0361-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove exponential decay for the solution of the Schrodinger equation on a dissipative waveguide. The absorption is effective everywhere on the boundary, but the geometric control condition is not satisfied. The proof relies on separation of variables and the Riesz basis property for the eigenfunctions of the transverse operator. The case where the absorption index takes negative values is also discussed.
引用
收藏
页码：1807 / 1836
页数：30
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