Long Range Scattering and Modified Wave Operators for the Wave-Schrödinger System II

Annales Henri Poincare

Volumn 4, Issue 5, 2003, Pages 973-999

  Ginibre, J ^a   Velo, G ^b  

^a UNIVERSITÉ PARIS SUD   (France)

^b UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345356919     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-003-0152-6     Document Type: Article

References (9)

1. J. Ginibre, G. Velo, Long range scattering and modified wave operators for the Wave-Schrödinger system, Ann. H.P. 3, 537-612 (2002).
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3. T. Kato, G. Ponce, Commutator estimates and the Euler and Navier-Stokes equations, Comm. Pure Appl. Math., 41, 891-907 (1988).
4. C. Kenig, G. Ponce, L. Vega, The initial value problem for a class of nonlinear dispersive equations, in Functional-Analytic Methods for Partial Differential Equations, Lect. Notes Math., 1450, 141-156 (1990).
5. T. Ozawa, Long range scattering for nonlinear Schrödinger equations in one space dimension, Commun. Math. Phys., 139, 479-493 (1991).
6. T. Ozawa, Y. Tsutsumi, Asymptotic behaviour of solutions for the coupled Klein-Gordon-Schrödinger equations, in Spectral and Scattering Theory and Applications, Adv. Stud, in Pure Math., Jap. Math. Soc., 23, 295-305 (1994).
7. A. Shimomura, Wave operators for the coupled Klein-Gordon-Schrödinger equations in two space dimensions, Funkcial. Ekvac., in press.
8. A. Shimomura, Modified wave operators for the coupled Wave-Schrödinger equations in three space dimensions, Disc. Cont. Dyn. Syst., in press.
9. E. Stein, Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton 1970.