Global attractor for 3D Dirac equation with nonlinear point interaction

被引：0

作者：

Kopylova, Elena ^{[1
,2
]}

机构：

[1] Univ Vienna, Vienna, Austria

[2] Inst Informat Transmiss Problems, Moscow, Russia

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2022年 / 29卷 / 03期

基金：

奥地利科学基金会;

关键词：

KLEIN-GORDON EQUATION; SOLITARY WAVES; ASYMPTOTIC STABILITY; SCHRODINGER-EQUATION; SCATTERING; PARTICLE;

D O I：

10.1007/s00030-022-00758-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove global attraction to stationary orbits for 3D Dirac equation with concentrated nonlinearity. We show that each finite energy solution converges as t ->+/-infinity to the set of four-frequency "nonlinear eigenfunctions". The global attraction is caused by nonlinear energy transfer from lower harmonics to the continuous spectrum and subsequent dispersion radiation.

引用

页数：44

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