The Hartree-Fock equations in modulation spaces
Analysis of PDEs
2019-08-19 v1
Abstract
We establish both a local and a global well-posedness theories for the nonlinear Hartree-Fock equations and its reduced analog in the setting of the modulation spaces on . In addition, we prove similar results when a harmonic potential is added to the equations. In the process, we prove the boundedeness of certain multilinear operators on products of the modulation spaces which may be of independent interest.
Cite
@article{arxiv.1908.05862,
title = {The Hartree-Fock equations in modulation spaces},
author = {Divyang G. Bhimani and Manoussos Grillakis and Kasso A. Okoudjou},
journal= {arXiv preprint arXiv:1908.05862},
year = {2019}
}
Comments
28 pages