Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations

Communications in Mathematical Physics

Volumn 220, Issue 1, 2001, Pages 41-67

  Carles, Rémi ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035534907     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200100438     Document Type: Article

References (13)

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6. 6. Ginibre, J.: An introduction to nonlinear Schrödinger equations. In: Nonlinear waves (Sapporo, 1995). Gakkōtosho, R. Agemi and Y. Giga and T. Ozawa (eds.), GAKUTO International Series, Math. Sciences and Appl., 1997, pp. 85-133
7. 7. Ginibre, J., and Velo, G.: On a class of nonlinear Schrödinger equations. III. Special theories in dimensions 1, 2 and 3. Annales de l'Institut Henri Poincaré. Section A. Physique Théorique. Nouvelle Série 28, 287-316 (1978)
8. 8. Ginibre, J., and Velo, G.: Long Range Scattering and Modified Wave Operators for some Hartree Type Equations III. Gevrey spaces and low dimensions. J. Diff. Eq., to appear
9. 9. Hayashi, N., and Naumkin, P.: Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations. Am. J. Math. 120, 369-389 (1998)
10. 10. Hunter, J., and Keller, J.: Caustics of nonlinear waves. Wave Motion 9, 429-443 (1987)
11. 11. Ozawa, T.: Long range scattering for nonlinear Schrödinger equations in one space dimension. Commun. Math. Phys. 139, 479-493 (1991)
12. 12. Strauss, W.: Nonlinear scattering theory. In: Scattering theory in mathematical physics, J. Lavita and J. P. Marchands (eds.), Dordrecht: Reidel, 1974
13. 13. Strauss, W.: Nonlinear scattering theory at low energy. J. Funct. Anal. 41, 110-133 (1981)