Sharp blowup rate for NLS with a repulsive harmonic potential

In this paper, we are concerned with the blowup solutions of the L 2 critical nonlinear Schrödinger equation with a repulsive harmonic potential. By using the results recently obtained by Merle and Raphaël and by Carles’ transform we establish in a quite elementary way universal and sharp upper and...

Full description

Saved in:
Bibliographic Details
Published in:Journal of inequalities and applications 2021-01, Vol.2021 (1), p.1-10, Article 2
Main Author: Zhou, Rui
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Blowup rate
Cauchy problems
Lower bounds
Mathematics
Mathematics and Statistics
Nonlinear Schrödinger equation
Norms
Repulsive harmonic potential
Schrodinger equation
Singular solutions
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we are concerned with the blowup solutions of the L 2 critical nonlinear Schrödinger equation with a repulsive harmonic potential. By using the results recently obtained by Merle and Raphaël and by Carles’ transform we establish in a quite elementary way universal and sharp upper and lower bounds of the blowup rate for the blowup solutions of the aforementioned equation. As an application, we derive upper and lower bounds on the L r -norms of the singular solutions.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-020-02535-1