Asymptotics in Time of Solutions to Nonlinear Schroedinger Equations in Two Space Dimensions

Author:

Hayashi Nakao1,Naumkin Pavel I.2

Affiliation:

1. Osaka University

2. UNAM

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference11 articles.

1. [1] Hayashi, N., Kawahara, Y. and Naumkin, P. I., Lower bounds of asymptotics in time of solutions to Nonlinear Schrödinger Equations in 3d, to appear in Cubo. A. Math. J.

2. [2] Hayashi, N., Naumkin, P. I., Shimomura, A. and Tonegawa, S., Modified wave operators for nonlinear Schrödinger equations in one and two dimensions, Electron. J. Differential Equations, No. 62 (2004), 1-16.

3. [3] Kita, N., Sharp Lr asymptotics of the small solutions to the nonlinear Schrödinger equations, Nonlinear Anal., 52 (2003), 1365-1377.

4. [4] Kita, N. and Ozawa, T., Sharp asymptotic behavior of solutions to nonlinear Schrödinger equations with repulsive interactions, Commun. Contemp. Math., 7 (2005), 167-176.

5. [5] Kita, N. and Wada, T., Sharp asymptotic behavior of solutions to nonlinear Schrödinger equations in one space dimension, Funkcial. Ekvac., 45 (2002), 53-69.

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