The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in \(H^s(\mathbb{R}^n)\)

DOI10.3934/eect.2022059zbMath1512.35527arXiv2107.00796OpenAlexW4312755629MaRDI QIDQ6104912

Jin-Myong Kim, JinMyong An

Publication date: 15 June 2023

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.00796

zbMATH Keywords

scatteringwell-posednessHardy inequalityStrichartz estimatescriticalinhomogeneous nonlinear Schrödinger equation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55)

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A note on the \(H^s\)-critical inhomogeneous nonlinear Schrödinger equation ⋮ Energy scattering for non-radial inhomogeneous fourth-order Schrödinger equations

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