The nonlinear Schr\"odinger equations with combined nonlinearities of power-type and Hartree
Analysis of PDEs
2008-08-13 v1
Abstract
This paper is devoted to a comprehensive study of the nonlinear Schr\"odinger equations with combined nonlinearities of the power-type and Hartree-type in any dimension n\ge3. With some structural conditions, a nearly whole picture of the interactions of these nonlinearities in the energy space is given. The method is based on the Morawetz estimates and perturbation principles.
Keywords
Cite
@article{arxiv.0808.1622,
title = {The nonlinear Schr\"odinger equations with combined nonlinearities of power-type and Hartree},
author = {Daoyuan Fang and Zheng Han},
journal= {arXiv preprint arXiv:0808.1622},
year = {2008}
}