A MINIATURE SCATTERING THEORY FOR NONLINEAR KLEIN-GORDON EQUATIONS

Author:

NAKAMURA Makoto

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Reference9 articles.

1. [1] J. Bergh and J. Löfström. Interpolation spaces. Grundlehren der Mathematischen Wissenschaften. Springer, Berlin, 1976.

2. [2] P. Brenner. Lp-estimates of difference schemes for strictly hyperbolic systems with nonsmooth data. SIAM J. Numer. Anal. 14 (1977), 1126-1144.

3. [3] J. Ginibre and G. Velo. Time decay of finite energy solutions of the nonlinear Klein-Gordon and Schrödinger equations. Ann. Inst. H. Poincaré Phys. Théor. 43 (1985), 399-442.

4. [4] T. Kato. An Lq,r -theory for nonlinear Schrödinger equations. Spectral and Scattering Theory and Applications (Adv. Stud. Pure Math., 23). Mathematical Society of Japan, Tokyo, 1994, pp. 223-238.

5. [5] M. Nakamura and T. Ozawa. The Cauchy problem for nonlinear Klein-Gordon equations in the Sobolev spaces. Publ. Res. Inst. Math. Sci. 37 (2001), 255-293.

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