Bi- and trilinear Schrödinger estimates in one space dimension with applications to cubic NLS and DNLS. (English) Zbl 1088.35063
The Cauchy problem for the cubic nonlinear Schrödinger (NLS) equation on the line is under consideration. Local well-posedness in some specially introduced space is shown.
Reviewer: Igor Andrianov (Köln)
MSC:
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 35A07 | Local existence and uniqueness theorems (PDE) (MSC2000) |
