Smoothing estimates for the Schrodinger equation with unbounded potentials

被引：15

作者：

D'Ancona, Piero ^{[1
]}

Fanelli, Luca ^{[1
]}

机构：

[1] Univ Rome, Dipartimento Matemat, I-00185 Rome, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 12期

关键词：

Decay estimates; Dispersive equations; Schrodinger equation; Time-dependent potential; Magnetic potential; EXTERNAL MAGNETIC-FIELD; REGULARITY; DECAY; SMOOTHNESS;

D O I：

10.1016/j.jde.2009.03.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a local in time smoothing estimate for a magnetic Schrodinger equation with coefficients growing polynomially at spatial infinity. The assumptions on the magnetic field are gauge invariant and involve only the first two derivatives. The proof is based on the multiplier method and no pseudodifferential techniques are required. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：4552 / 4567

页数：16

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