Scattering for Nonlinear Schrödinger Equation Under Partial Harmonic Confinement
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://link.springer.com/content/pdf/10.1007/s00220-014-2166-y.pdf
Reference35 articles.
1. Banica, V., Carles, R., Duyckaerts, T.: On scattering for NLS: from Euclidean to hyperbolic space. Discret. Contin. Dyn. Syst. 24(4), 1113–1127 (2009)
2. Barab, J.E.: Nonexistence of asymptotically free solutions for nonlinear Schrödinger equation. J. Math. Phys. 25, 3270–3273 (1984)
3. Ben Abdallah, N., Castella, F., Méhats, F.: Time averaging for the strongly confined nonlinear Schrödinger equation, using almost periodicity. J. Differ. Equ. 245(1), 154–200 (2008)
4. Bourgain, J.: Fourier restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I, Schrödinger equations. Geom. Funct. Anal. 3, 107–156 (1993)
5. Carles, R.: Linear vs. nonlinear effects for nonlinear Schrödinger equations with potential. Commun. Contemp. Math. 7(4), 483–508 (2005)
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