Supercritical Nonlinear Schr\"odinger Equations II: Almost Global Existence
Analysis of PDEs
2010-07-02 v1 Dynamical Systems
Abstract
We prove almost global existence for supercritical nonlinear Schr\"odinger equations on the -torus ( arbitrary) on the good geometry selected in part I. This is seen as the Cauchy consequence of I, since the known invariant measure of smooth solutions are supported on KAM tori. In the high frequency limit, these quantitative solutions could also be relevant to Cauchy problems for compressible Euler equations.
Cite
@article{arxiv.1007.0154,
title = {Supercritical Nonlinear Schr\"odinger Equations II: Almost Global Existence},
author = {W. -M. Wang},
journal= {arXiv preprint arXiv:1007.0154},
year = {2010}
}
Comments
21 pages