On the decay properties of solutions to a class of Schrodinger equations

被引：39

作者：

Dawson, L. ^{[1
]}

McGahagan, H. ^{[2
]}

Ponce, G. ^{[2
]}

机构：

[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 06期

关键词：

D O I：

10.1090/S0002-9939-08-09355-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a local in time, exponentially decaying solution of the one-dimensional variable coefficient Schrodinger equation by solving a nonstandard boundary value problem. A main ingredient in the proof is a new commutator estimate involving the projections P-+/- onto the positive and negative frequencies.

引用

页码：2081 / 2090

页数：10

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