Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg-de Vries equation

DOI10.1016/j.anihpc.2017.04.003zbMath1383.35196arXiv1602.05331OpenAlexW2963280826MaRDI QIDQ1697421

Satoshi Masaki, Jun-Ichi Segata

Publication date: 20 February 2018

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05331

zbMATH Keywords

generalized Korteweg-de Vries equationscattering problemthreshold solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (19)

The radial mass-subcritical NLS in negative order Sobolev spaces ⋮ Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity ⋮ Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions ⋮ Refinement of Strichartz Estimates for Airy Equation in Nondiagonal Case and its Application ⋮ Long Range Scattering for Nonlinear Schrödinger Equations with Critical Homogeneous Nonlinearity ⋮ Modified scattering for the quadratic nonlinear Klein–Gordon equation in two dimensions ⋮ Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions ⋮ Bourgain-Morrey spaces meet structure of Triebel-Lizorkin spaces ⋮ On the scattering of subcritical defocusing generalized Korteweg-de Vries equation ⋮ Bourgain-Morrey spaces mixed with structure of Besov spaces ⋮ Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials ⋮ Low regularity of solutions to the rotation-Camassa-Holm type equation with the Coriolis effect ⋮ Gagliardo representation of norms of ball quasi-Banach function spaces ⋮ A Thought on Generalized Morrey Spaces ⋮ A sharp scattering threshold level for mass-subcritical nonlinear Schrödinger system ⋮ Modular Hopf equation ⋮ Modulation spaces with scaling symmetry ⋮ The structure of algebraic solitons and compactons in the generalized Korteweg-de Vries equation ⋮ Bourgain-Morrey spaces and their applications to boundedness of operators

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