On the Asymptotic Behavior of Nonlinear Schrödinger Equations with Magnetic Effect

Authors
Boling, Guo Shaobin, Tan
Citation
Boling, Guo et Shaobin, Tan, On the Asymptotic Behavior of Nonlinear Schrödinger Equations with Magnetic Effect, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 11(2), 1995, pp. 179-187
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
11
Issue
2
Year of publication
1995
Pages
179 - 187
Database
ACNP
SICI code
Abstract
The purpose of this paper is to study the long time asymptotic behavior for a nonlinear Schrödinger equations with magnetic effect. Under certain conditions, we prove the existence and nonexistence of the non-trivial free asymptotic solutions. In addition, the decay estimates of the solutions are also obtained.