Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space
We prove an almost sure local well-posedness result for the periodic 3D quintic nonlinear Schrödinger equation in the supercritical regime, that is, below the critical space H ¹ (T³). We also prove a long time existence result; more precisely, we show that for fixed T > 0 there exists a set ∑T w...
Main Authors: | , |
---|---|
Other Authors: | |
Format: | Article |
Language: | English |
Published: |
European Mathematical Publishing House,
2018-05-30T18:03:08Z.
|
Subjects: | |
Online Access: | Get fulltext |