麦克斯韦-狄拉克方程的归一化孤波解

IF 1.8 1区数学 Q1 MATHEMATICS, APPLIED

Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2021-11-01 DOI:10.1016/j.anihpc.2020.12.006

Margherita Nolasco

引用次数: 5

摘要

证明了(3+1)-Minkowski空间中Maxwell-Dirac方程l2归一化孤波解的存在性。此外，对于描述费米子在平均场极限下具有吸引库仑相互作用的库仑-狄拉克模型，我们证明了(正)能量最小值的存在性。

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A normalized solitary wave solution of the Maxwell-Dirac equations

We prove the existence of a $L^{2}$ -normalized solitary wave solution for the Maxwell-Dirac equations in (3+1)-Minkowski space. In addition, for the Coulomb-Dirac model, describing fermions with attractive Coulomb interactions in the mean-field limit, we prove the existence of the (positive) energy minimizer.

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来源期刊

Annales De L Institut Henri Poincare-Analyse Non Lineaire 数学-应用数学

CiteScore

4.10

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Nonlinear Analysis section of the Annales de l''Institut Henri Poincaré is an international journal created in 1983 which publishes original and high quality research articles. It concentrates on all domains concerned with nonlinear analysis, specially applicable to PDE, mechanics, physics, economy, without overlooking the numerical aspects.