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

2023/12/12 by Bai, Ruobing, Majdoub, Mohamed, Saanouni, Tarek · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2312.07002

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.

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