WKB analysis of non-elliptic nonlinear Schrodinger equations
Analysis of PDEs
2020-12-16 v1 Mathematical Physics
math.MP
Abstract
We justify the WKB analysis for generalized nonlinear Schr{\"o}dinger equations (NLS), including the hyperbolic NLS and the Davey-Stewartson II system. Since the leading order system in this analysis is not hyperbolic, we work with analytic regularity, with a radius of analyticity decaying with time, in order to obtain better energy estimates. This provides qualitative information regarding equations for which global well-posedness in Sobolev spaces is widely open.
Keywords
Cite
@article{arxiv.1811.07597,
title = {WKB analysis of non-elliptic nonlinear Schrodinger equations},
author = {Rémi Carles and Clément Gallo},
journal= {arXiv preprint arXiv:1811.07597},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1612.04149