Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. (English) Zbl 0795.35073

Summary: The nonlinear scattering and stability results of the authors [Commun. Math. Phys. 133, No. 1, 119-146 (1990; Zbl 0721.35082)] are extended to the case of anisotropic potentials and data. The range of nonlinearities for which the theory is shown to be valid is also extended considerably.


35P25 Scattering theory for PDEs
35Q55 NLS equations (nonlinear Schrödinger equations)
81U30 Dispersion theory, dispersion relations arising in quantum theory


Zbl 0721.35082
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[1] Ginibre, J.; Velo, G., On a class of nonlinear Schrödinger equations I, II, J. Funct. Anal., 32, 1-71 (1979) · Zbl 0396.35029
[3] Journé, J.-L; Soffer, A.; Sogge, C., Decay estimates for Schrödinger operators, Comm. Pure Appl. Math., 44, 5, 573-604 (1991) · Zbl 0743.35008
[4] Soffer, A.; Weinstein, M. I., Multichannel nonlinear scattering for nonintegrable equations, Comm. Math. Phys., 133, 119-146 (1990) · Zbl 0721.35082
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