On the global well-posedness of focusing energy-critical inhomogeneous NLS

DOI10.1007/s00028-020-00558-1zbMath1464.35316OpenAlexW3003971201MaRDI QIDQ2021526

Yonggeun Cho, Seokchang Hong, Kiyeon Lee

Publication date: 27 April 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-020-00558-1

zbMATH Keywords

scatteringblowupinhomogeneous NLSfocusing energy-critical nonlinearityGWPKenig-Merle argument

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Critical inhomogeneous coupled Schrödinger equations ⋮ Endpoint Strichartz estimates with angular integrability and some applications ⋮ Global well-posedness and scattering of the defocusing energy-critical inhomogeneous nonlinear Schrödinger equation with radial data ⋮ Local well‐posedness of a critical inhomogeneous Schrödinger equation ⋮ On the focusing energy-critical inhomogeneous NLS: weighted space approach ⋮ Long Time Dynamics of Nonradial Solutions to Inhomogeneous Nonlinear Schrödinger Equations ⋮ Scattering for the non-radial energy-critical inhomogeneous NLS ⋮ A compactness result for inhomogeneous nonlinear Schrödinger equations

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