On solutions of the initial value problem for the nonlinear Schr dinger equations in one space dimension
- 1 December 1986
- journal article
- Published by Springer Science and Business Media LLC in Mathematische Zeitschrift
- Vol. 192 (4), 637-650
- https://doi.org/10.1007/bf01162710
Abstract
No abstract availableKeywords
This publication has 12 references indexed in Scilit:
- On solutions of the initial value problem for the nonlinear Schrödinger equationsJournal of Functional Analysis, 1987
- Classical solutions of nonlinear Schrödinger equationsmanuscripta mathematica, 1986
- The global Cauchy problem for the non linear Schrödinger equation revisitedAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 1985
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equationJournal of Mathematical Physics, 1984
- Weighted Sobolev spaces and rapidly decreasing solutions of some nonlinear dispersive wave equationsJournal of Differential Equations, 1981
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general caseJournal of Functional Analysis, 1979
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equationsJournal of Mathematical Physics, 1977
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equationsDuke Mathematical Journal, 1977
- Korteweg‐devries equation and generalizations. VI. methods for exact solutionCommunications on Pure and Applied Mathematics, 1974
- Decay and asymptotics for □u = F(u)Journal of Functional Analysis, 1968