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...

Full description

Bibliographic Details
Main Authors: Nahmod, Andrea (Author), Staffilani, Gigliola (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: European Mathematical Publishing House, 2018-05-30T18:03:08Z.
Subjects:
Online Access:Get fulltext