Abstract
We consider the nonlinear Schrödinger equations (NLS) on with random and rough initial data. By working in the framework of spaces, , we prove almost sure local well-posedness for rougher initial data than those considered in the existing literature. The main ingredient of the proof is the dispersive estimate.
Original language | English |
---|---|
Pages (from-to) | 637-643 |
Journal | Comptes Rendus Mathematique |
Volume | 356 |
Issue number | 6 |
Early online date | 25 Apr 2018 |
DOIs | |
Publication status | Published - Jun 2018 |