Semi-classical resolvent estimates for Schrodinger operators

被引：2

作者：

Vodev, Georgi ^{[1
]}

机构：

[1] Univ Nantes, Dept Math, UMR 6629, CNRS, F-44332 Nantes 03, France

来源：

ASYMPTOTIC ANALYSIS | 2013年 / 81卷 / 02期

关键词：

resolvent; Schrodinger operators; RIEMANNIAN-MANIFOLDS;

D O I：

10.3233/ASY-2012-1134

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove optimal resolvent estimates for self-adjoint operators of the form P(h) = (ih del + b(x, h))(2) + V (x, h) on L-2(R-n), n >= 3, where 0 < h << 1 is a semi-classical parameter and the coefficients have very little regularity with respect to the radial variable only.

引用

页码：157 / 170

页数：14

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