On the lack of dispersion for a class of magnetic Dirac flows

被引：5

作者：

Arrizabalaga, Naiara ^{[1
]}

Fanelli, Luca ^{[2
]}

Garcia, Andoni ^{[1
]}

机构：

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

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

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2013年 / 13卷 / 01期

关键词：

Dirac equation; Strichartz estimates dispersive equations; magnetic potential; SCHRODINGER-OPERATORS; STRICHARTZ; WAVE; EQUATIONS; POTENTIALS; DECAY;

D O I：

10.1007/s00028-012-0170-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that global Strichartz estimates for magnetic Dirac operators generally fail, if the potentials do not decay fast enough at infinity. In order to prove this, we construct some explicit examples of homogeneous magnetic potentials with less than Coulomb decay, that is, with homogeneity-degree more than -1, such that the magnetic field points to a fixed direction, which does not depend on x is an element of R-3.

引用

收藏

页码：89 / 106

页数：18

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