Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces Hs(Rn) and applications
- 1 August 2007
- journal article
- Published by Elsevier BV in Nonlinear Analysis
- Vol. 67 (3), 687-707
- https://doi.org/10.1016/j.na.2006.06.020
Abstract
No abstract availableKeywords
This publication has 6 references indexed in Scilit:
- Pointwise Estimates for a Class of Oscillatory Integrals and Related Lp–Lq EstimatesJournal of Fourier Analysis and Applications, 2005
- Self-Focusing with Fourth-Order DispersionSIAM Journal on Applied Mathematics, 2002
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersionPhysica D: Nonlinear Phenomena, 2000
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principleCommunications on Pure and Applied Mathematics, 1993
- Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equationJournal of Functional Analysis, 1991
- On the (generalized) Korteweg-de Vries equationDuke Mathematical Journal, 1989