Small data global well-posedness and scattering for the inhomogeneous nonlinear Schrödinger equation in \(H^s (\mathbb{R}^n)\)

DOI10.4171/ZAA/1692zbMath1483.35193arXiv2107.00792OpenAlexW3211887819MaRDI QIDQ2075260

Jin-Myong Kim, JinMyong An

Publication date: 14 February 2022

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.00792

zbMATH Keywords

scatteringglobal well-posednessStrichartz estimatesinhomogeneous nonlinear Schrödinger equationsubcritical

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) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in \(H^s(\mathbb{R}^n)\) ⋮ A note on the \(H^s\)-critical inhomogeneous nonlinear Schrödinger equation ⋮ Defocusing \(\dot{H}^{\frac{ 1}{ 2}} \)-critical inhomogeneous nonlinear Schrödinger equations ⋮ Small data global well-posedness for the inhomogeneous biharmonic NLS in Sobolev spaces ⋮ Local well-posedness for the inhomogeneous biharmonic nonlinear Schrödinger equation in Sobolev spaces

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