On a class of nonlinear Schrödinger equations. II. Scattering theory, general case. (English) Zbl 0396.35029


35J10 Schrödinger operator, Schrödinger equation
35J60 Nonlinear elliptic equations
35P25 Scattering theory for PDEs
Full Text: DOI


[1] Ginibre, J.; Velo, G., On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case, J. Functional Analysis, 32, 1-32 (1979) · Zbl 0396.35028
[2] Strauss, W. A., Nonlinear scattering theory, (Lavita, J. A.; Marchand, J.-P., Scattering Theory in Mathematical Physics (1974), Reidel: Reidel Dordrecht, Holland), 53-78 · Zbl 0297.35062
[3] Zakharov, V. E.; Shabat, A. B., Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Sov. Phys. JETP, 34, 62-69 (1972)
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