A note on decay rates of solutions to a system of cubic nonlinear Schrödinger equations in one space dimension

Author:

Kim Donghyun1

Affiliation:

1. Research and Industry-University Cooperation Foundation, Hankuk University of Foreign Studies, Imun-ro 107, Dongdaemun-gu, Seoul 130-791, Korea. E-mail: u553252d@alumni.osaka-u.ac.jp

Publisher

IOS Press

Subject

General Mathematics

Reference14 articles.

1. Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation;Barab;J. Math. Phys.,1984

2. T. Cazenave, Semilinear Schrödinger Equations, Courant Institute of Mathematical Sciences, New York, NY, USA; American Mathematical Society, Providence, RI, USA, 2003.

3. Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations;Hayashi;Amer. J. Math.,1998

4. On the Schrödinger equation with dissipative nonlinearities of derivative type;Hayashi;SIAM J. Math. Anal.,2008

5. A remark on decay rates of solutions for a system of quadratic nonlinear Schrödinger equations in 2D;Katayama;Differential Integral Equations,2014

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