Global well-posedness and scattering of the defocusing energy-critical inhomogeneous nonlinear Schrödinger equation with radial data

DOI10.1016/J.JMAA.2024.128202arXiv2307.07204MaRDI QIDQ6126753

Dongjin Park

Publication date: 10 April 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.07204

zbMATH Keywords

scattering theoryenergy boundsinhomogeneous nonlinear Schrödinger equationSobolev-Lorentz spacesMorawetz inequality

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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