On the nonlinear Schrödinger equation with critical source term: global well-posedness, scattering and finite time blowup

On the nonlinear Schrödinger equation with critical source term: global well-posedness, scattering and finite time blowup

This study explored the time asymptotic behavior of the Schrödinger equation with an inhomogeneous energy-critical nonlinearity. The approach follows the concentration-compactness method due to Kenig and Merle. To address the primary challenge posed by the singular inhomogeneous term, we utilized Ca...

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Bibliographic Details
Main Authors: Saleh Almuthaybiri, Radhia Ghanmi, Tarek Saanouni
Format: Article
Language:English
Published: AIMS Press 2024-10-01
Series:AIMS Mathematics
Subjects:
schrödinger problem
energy-critical
nonlinear equations
fixed point method
global existence
scattering
blowup
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241460?viewType=HTML
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