On the asymptotic behavior of nonlinear Schrödinger equations with magnetic effect |
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Authors: | Boling Guo Shaobin Tan |
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Institution: | (1) Institute of Applied Physics and Computational Mathematics, Academia Sinica, 100088 Beijing, People's Republic of China |
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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.Supported by the National Natural Science Foundation of China. |
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