Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415143 | Journal of Functional Analysis | 2014 | 25 Pages |
Abstract
We show the existence of standing wave solutions to the Schrödinger equation coupled with a neutral scalar field. We also verify the Chern-Simons limit for these solutions. More precisely we prove that solutions to Eqs. (1.3)-(1.4) converge to the unique positive radially symmetric solution of the nonlinear Schrödinger equation (1.6) as the coupling constant q goes to infinity.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jongmin Han, Hyungjin Huh, Jinmyoung Seok,