Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential-Reference-Cited by-同舟云学术

Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential

Published:2019-08-06 Issue:1 Volume:9 Page:882-894
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Zhang Mingyou¹,Ahmed Md Salik²

Affiliation:

1. College of Science , Northwest A&F University , Yangling Shaanxi , 712100 , People’s Republic of China

2. Department of Mathematics and Physics , North South University - 1229 , Dhaka , Bangladesh

Abstract

Abstract The Cauchy problem of nonlinear Schrödinger equation with a harmonic potential for describing the attractive Bose-Einstein condensate under the magnetic trap is considered. We give some sufficient conditions of global existence and finite time blow up of solutions by introducing a family of potential wells. Some different sharp conditions for global existence, and some invariant sets of solutions are also obtained here.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

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