Quantitative Limiting Absorption Principle in the Semiclassical Limit

被引：31

作者：

Datchev, Kiril ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2014年 / 24卷 / 03期

基金：

美国国家科学基金会;

关键词：

SCHRODINGER-OPERATORS; TRAPPED SETS; RESOLVENT; BOUNDS;

D O I：

10.1007/s00039-014-0273-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an elementary proof of Burq's resolvent bounds for long range semiclassical Schrodinger operators. Globally, the resolvent norm grows exponentially in the inverse semiclassical parameter, and near infinity it grows linearly. We also weaken the regularity assumptions on the potential.

引用

页码：740 / 747

页数：8

共 12 条

[1] Local energy decay of the wave equation for the exterior problem and absence of resonance in the neighborhood of the real axis [J].