Ground state of the mass-critical inhomogeneous nonlinear Schrodinger functional
Mathematical Physics
2019-05-02 v1 math.MP
Abstract
We study the ground state problem of the nonlinear Schrodinger functional with a mass-critical inhomogeneous nonlinear term. We provide the optimal condition for the existence of ground states and show that in the critical focusing regime there is a universal blow-up profile given by the unique optimizer of a Gagliardo-Nirenberg interpolation inequality.
Keywords
Cite
@article{arxiv.1905.00359,
title = {Ground state of the mass-critical inhomogeneous nonlinear Schrodinger functional},
author = {Thanh Viet Phan},
journal= {arXiv preprint arXiv:1905.00359},
year = {2019}
}
Comments
21 pages