The initial value problem for nonlinear Schrödinger equations with a dissipative nonlinearity in one space dimension

Author:

Jin Guangzhi,Jin Yuanfeng,Li Chunhua

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Reference10 articles.

1. Barab I.: Nonexistence of asymptotically free solutions for nonlinear Schrödinger equations. J. Math. Phy. 25, 3270–3273 (1984)

2. Hayashi N., Naumkin P. I.: Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations. American Journal of Mathematics, 120, 369–389 (1998)

3. Hayashi N, Ozawa T.: Scattering theory in the weighted $${\bf{L}^{2} \left( \mathbb{R}^{n} \right)}$$ L 2 R n spaces for some Schrödinger equations. Ann. Inst. H. Poincaré Phys. Théor. 48, 17– (1988)

4. Katayama S., Li C., Sunagawa H.: A remark on decay rates of solutions for a system of quadratic nonlinear Schrödinger equations in 2D. Differential Integral Equations, 27, 301–312 (2014)

5. S. Katayama, A. Matsumura and H. Sunagawa, Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions, Nonlinear Differential Equations and Applications, 22 (2015), 601–628.

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