Virial identity and weak dispersion for the magnetic Dirac equation

被引：27

作者：

Boussaid, Nabile ^{[2
]}

D'Ancona, Piero ^{[1
]}

Fanelli, Luca ^{[3
]}

机构：

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

[2] Univ Franche Comte, Dept Math, F-25030 Besancon, France

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

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2011年 / 95卷 / 02期

关键词：

Dirac equation; Smoothing estimates; Strichartz estimates wave equation; Dispersive equations; Magnetic potential; SCHRODINGER-EQUATIONS; STRICHARTZ INEQUALITIES; STANDING WAVES; POTENTIALS; DECAY;

D O I：

10.1016/j.matpur.2010.10.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates which are optimal from the decay point of view. We also prove a Hardy-type inequality for the perturbed Dirac operator. (C) 2010 Elsevier Masson SAS. All rights reserved.

引用

页码：137 / 150

页数：14

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