On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:436

Article

Cuccagna, Scipio¹  Tarulli, Mirko² 

[1] Univ Trieste, Dept Math & Geosci, Via Valerio 12-1, I-94127 Trieste, Italy

[2] Univ Pisa, Dept Math, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy

关键词: Nonlinear Dirac equation;    Standing waves;   

DOI  :  10.1016/j.jmaa.2015.12.049

来源: Elsevier

【 摘 要 】

We consider a Dirac operator with short range potential and with eigenvalues. We add a nonlinear term and we show that the small standing waves of the corresponding nonlinear Dirac equation (NLD) are attractors for small solutions of the NLD. This extends to the NLD results already known for the Nonlinear Schrodinger Equation (NLS). (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free