Radial 3D Focusing Energy Critical INLS equations with defocusing perturbation: Ground states, Scattering, and Blow-up

2024/08/26 by Gou, Tianxiang, Majdoub, Mohamed, Saanouni, Tarek
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2408.14161

Abstract

We investigate the following inhomogeneous nonlinear Schrödinger equation in the radial regime, featuring a focusing energy-critical nonlinearity and a defocusing perturbation: i∂_t u +Δu =|x|^-a |u|^p-2 u - |x|^-b |u|^4-2bu in ℝ_t × ℝ_x³, where 0

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