Semiclassical Analysis for Hartree equation
Analysis of PDEs
2007-12-12 v1 Mathematical Physics
math.MP
Abstract
We justify WKB analysis for Hartree equation in space dimension at least three, in a regime which is supercritical as far as semiclassical analysis is concerned. The main technical remark is that the nonlinear Hartree term can be considered as a semilinear perturbation. This is in contrast with the case of the nonlinear Schrodinger equation with a local nonlinearity, where quasilinear analysis is needed to treat the nonlinearity.
Keywords
Cite
@article{arxiv.0712.1679,
title = {Semiclassical Analysis for Hartree equation},
author = {Rémi Carles and Satoshi Masaki},
journal= {arXiv preprint arXiv:0712.1679},
year = {2007}
}
Comments
16 pages