Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schrödinger equation

Ruobing Bai; Mohamed Majdoub; Tarek Saanouni

doi:10.4310/DPDE.260103063613

Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schrödinger equation

Ruobing Bai
, Mohamed Majdoub
, Tarek Saanouni

Mathematics Department

Henan University
Qassim University

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the blow-up for a fourth-order Schrödinger equation with a mas-critical focusing inhomogeneous nonlinearity. We prove the finite/infinite-time blow-up of non-radial solutions with negative energy. Our result serves as a valuable complement to the existing literature and offers an improvement in our understanding of the subject matter.

Original language	English
Pages (from-to)	195-208
Number of pages	14
Journal	Dynamics of Partial Differential Equations
Volume	23
Issue number	2
DOIs	https://doi.org/10.4310/DPDE.260103063613
State	Published - 2026

Keywords

Blow-up
Inhomogeneous fourth-order nonlinear Schrödinger equation
L −critical
Localized virial identity
Non-radial solutions
Nonlinear equations

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10.4310/DPDE.260103063613

Cite this

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title = "Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schr{\"o}dinger equation",

abstract = "We investigate the blow-up for a fourth-order Schr{\"o}dinger equation with a mas-critical focusing inhomogeneous nonlinearity. We prove the finite/infinite-time blow-up of non-radial solutions with negative energy. Our result serves as a valuable complement to the existing literature and offers an improvement in our understanding of the subject matter.",

keywords = "Blow-up, Inhomogeneous fourth-order nonlinear Schr{\"o}dinger equation, L −critical, Localized virial identity, Non-radial solutions, Nonlinear equations",

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AU - Bai, Ruobing

AU - Majdoub, Mohamed

AU - Saanouni, Tarek

PY - 2026

Y1 - 2026

N2 - We investigate the blow-up for a fourth-order Schrödinger equation with a mas-critical focusing inhomogeneous nonlinearity. We prove the finite/infinite-time blow-up of non-radial solutions with negative energy. Our result serves as a valuable complement to the existing literature and offers an improvement in our understanding of the subject matter.

AB - We investigate the blow-up for a fourth-order Schrödinger equation with a mas-critical focusing inhomogeneous nonlinearity. We prove the finite/infinite-time blow-up of non-radial solutions with negative energy. Our result serves as a valuable complement to the existing literature and offers an improvement in our understanding of the subject matter.

KW - Blow-up

KW - Inhomogeneous fourth-order nonlinear Schrödinger equation

KW - L −critical

KW - Localized virial identity

KW - Non-radial solutions

KW - Nonlinear equations

UR - https://www.scopus.com/pages/publications/105028105439

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DO - 10.4310/DPDE.260103063613

M3 - Article

AN - SCOPUS:105028105439

SN - 1548-159X

VL - 23

SP - 195

EP - 208

JO - Dynamics of Partial Differential Equations

JF - Dynamics of Partial Differential Equations

IS - 2

ER -

Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schrödinger equation

Abstract

Keywords

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