Dispersive estimates for the Dirac equation in an Aharonov-Bohm field

被引：13

作者：

Cacciafesta, F. ^{[1
]}

Fanelli, L. ^{[2
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via R Cozzi,53, I-20125 Milan, Italy

[2] SAPIENZA Univ Roma, Dipartimento Matemat, Ple A Moro 5, I-00185 Rome, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 07期

关键词：

Dirac equation; Magnetic potentials; Local smoothing; SCHRODINGER-EQUATIONS; GLOBAL EXISTENCE; BESSEL-FUNCTIONS; TIME-DECAY; WAVE; POTENTIALS;

D O I：

10.1016/j.jde.2017.05.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove local smoothing and weighted Strichartz estimates for the Dirac equation with a Aharonov-Bohm potential. The proof, inspired by [12], relies on an explicit representation of the solution built in terms of spectral projections. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：4382 / 4399

页数：18

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