On the blow‐up for nonlinear Schrödinger equation with inhomogeneous perturbation-Reference-Cited by-同舟云学术

On the blow‐up for nonlinear Schrödinger equation with inhomogeneous perturbation

Published:2023-12-29 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Zhang Mao¹^ORCID,Zhang Jian¹^ORCID

Affiliation:

1. School of Mathematical Sciences University of Electronic Science and Technology of China Chengdu 611731 China

Abstract

We devote to the analysis of blow‐up solutions for the nonlinear Schrödinger equation with inhomogeneous perturbation. Firstly, we get the sharp threshold of global existence and blow‐up for the Cauchy problem. Then, we show the mass concentration properties and the limiting behavior of blow‐up solutions. At last, we prove the nonexistence of the minimal mass blow‐up solution by using the limiting behavior of blow‐up solutions.

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9884

Reference33 articles.

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1. On the blow‐up for nonlinear Schrödinger equation with inhomogeneous perturbation;Mathematical Methods in the Applied Sciences;2023-12-29