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math.AP2024
Sharp threshold of scattering versus non-scattering for some mass-sub-critical inhomogeneous NLS
B. Ayed. Sabria, T. Saanouni
This work investigates the long time asymptotic behavior of some inhomogeneous non-linear Schrödinger type equations. We give sharp a threshold of scattering versus non-scattering…
math.AP2024
Radial 3D Focusing Energy Critical INLS equations with defocusing perturbation: Ground states, Scattering, and Blow-up
Tianxiang Gou, Mohamed Majdoub, Tarek Saanouni
We investigate the following inhomogeneous nonlinear Schrödinger equation in the radial regime, featuring a focusing energy-critical nonlinearity and a defocusing perturbation: $$…