Local smoothing estimates for the massless Dirac-Coulomb equation in 2 and 3 dimensions

被引：20

作者：

Cacciafesta, Federico ^{[1
]}

Sere, Eric ^{[2
]}

机构：

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

[2] Univ Paris 09, PSL Res Univ, CNRS, CEREMADE,UMR 7534, Pl Lattre de Tassigny, F-75775 Paris 16, France

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2016年 / 271卷 / 08期

关键词：

Dispersive PDEs; Dirac equation; Smoothing estimates; SELF-ADJOINT EXTENSIONS; SMALL INITIAL DATA; SCHRODINGER-EQUATIONS; STRICHARTZ; POTENTIALS; OPERATORS; WAVE; DECAY;

D O I：

10.1016/j.jfa.2016.04.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove local smoothing estimates for the massless Dirac equation with a Coulomb potential in 2 and 3 dimensions. Our strategy is inspired by [9] and relies on partial wave subspaces decomposition and spectral analysis of the Dirac-Coulomb operator. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：2339 / 2358

页数：20

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