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.
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页数：44
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