Welcome to Faculty of Mathematics and Statistics

Normalized solutions and mass concentration for supercritical nonlinear Schrödinger equations
Author: Release time:2019-10-10 Number of clicks:

Title: Normalized solutions and mass concentration for supercritical nonlinear Schrödinger equations

Speaker: Jianfu Yang

Affiliation: Jiangxi Normal University

Time: 2019-10-14 10:30-11:30

Venue: Room 201 Lecture Hall

Abstract:

In this talk, we deal with the existence and concentration of normalized solutions to the supercritical nonlinear Schrödinger equation

where the Lagrange multiplier. We show that for close to 2, problem admits two solutions: one is the local minimal solution and another one is the mountain pass solution . Furthermore, we study the limiting behavior of and when . Particularly, we describe precisely the blow-up formation of the excited state .

 



Copyright © 2013 isg. hubu.edu.cn All Rights Reserved.    

Address: No. 368, Friendship Avenue, Wuchang District, Wuhan, Hubei. Zip code: 430062

Email:stxy@hubu.edu.cn phone: 027-88662127