Nonlinear Schroedinger Equations with Radially Symmetric Data of Critical Regularity

Author:

Hidano Kunio1

Affiliation:

1. Mie University

Publisher

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

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference26 articles.

1. [1] Ben-Artzi, M. and Klainerman, S., Decay and regularity for the Schrödinger equation, J. Anal. Math., 58 (1992), 25-37.

2. [2] Cazenave, T. and Weissler, F. D., The Cauchy problem for the critical nonlinear Schrödinger equation in Hs, Nonlinear Anal., 14 (1990), 807-836.

3. [3] Christ, M. and Kiselev, A., Maximal functions associated to filtrations, J. Funct. Anal., 179 (2001), 409-425.

4. [4] Ginibre, J., Ozawa, T. and Velo, G., On the existence of the wave operators for a class of nonlinear Schrödinger equations, Ann. Inst. H. Poincare, Phys. Theor., 60 (1994), 211-239.

5. [5] Hidano, K., Small data scattering and blow-up for a wave equation with a cubic convolution, Funkcial. Ekvac., 43 (2000), 559-588.

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