Non-trapping magnetic fields and Morrey-Campanato estimates for Schrodinger operators

被引：23

作者：

Fanelli, Luca ^{[1
]}

机构：

[1] Univ Basque Country, Dept Matemat, E-48080 Bilbao, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 357卷 / 01期

关键词：

Electric potentials; Magnetic potentials; Virial identities; Schrodinger operators; Spectral theory; TIME-DECAY; SPECTRAL PROPERTIES; WAVE-FUNCTIONS; STRICHARTZ; EQUATIONS;

D O I：

10.1016/j.jmaa.2009.03.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some uniform in c a priori estimates for solutions of the equation (del - iA)(2)u - V(x)u + (lambda +/- i epsilon)u = f, lambda >= 0. epsilon not equal 0. The estimates are obtained in terms of Morrey-Campanato norms, and can be used to prove absence of zero-resonances, in a suitable sense, for electromagnetic Hamiltonians. Quantitative conditions on the size of the trapping component of the magnetic field and the non-repulsive component of the electric field are given. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1 / 14

页数：14

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