Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-27T06:13:51.496Z Has data issue: false hasContentIssue false
  • English
  • Français

On semiclassical states of a nonlinear Dirac equation

Published online by Cambridge University Press:  17 July 2013

Y. H. Ding ,
C. Lee  and
B. Ruf
Y. H. Ding
Affiliation:
Institute of Mathematics, Academy of Mathematics and Systems Science and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China ([email protected])
C. Lee
Affiliation:
Department of Mathematics, National Changhua University of Education, Changhua 500, Taiwan, Republic of China
B. Ruf
Affiliation:
Dipartimento di Matematica, Universitá degli Studi di Milano, Via Cesare Saldini 50, 20133 Milano, Italy ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We study the semiclassical limit of the least energy solutions to the nonlinear Dirac equation for x ∈ ℝ3. We prove that the equation has least energy solutions for all ħ > 0 small, and, in addition, that the solutions converge in a certain sense to the least energy solution of the associated limit problem as ħ → 0.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 4 , August 2013 , pp. 765 - 790
Copyright
Copyright © Royal Society of Edinburgh 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)