On the radius of analyticity of solutions to the cubic Szegő equation

DOI10.1016/j.anihpc.2013.11.001zbMath1332.35058arXiv1303.6148OpenAlexW2001469881MaRDI QIDQ2259429

Yanqiu Guo, Edriss S. Titi, Patrick Gérard

Publication date: 4 March 2015

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/1303.6148

zbMATH Keywords

Hankel operatorsGevrey class regularityanalytic initial dataenergy-like estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Periodic solutions to PDEs (35B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (14)

Fixed analytic radius lower bound for the dissipative KdV equation on the real line ⋮ On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation ⋮ A survey of the Szegő equation ⋮ Lower bounds on the radius of spatial analyticity for the higher order nonlinear dispersive equation on the real line ⋮ Generic colourful tori and inverse spectral transform for Hankel operators ⋮ New lower bounds on the radius of spatial analyticity for the KdV equation ⋮ On Gevrey regularity of the supercritical SQG equation in critical Besov spaces ⋮ Dissipation length scale estimates for turbulent flows: a Wiener algebra approach ⋮ The cubic Szegő flow at low regularity ⋮ Nondecreasing analytic radius for the KdV equation with a weakly damping ⋮ Remark on the persistence of spatial analyticity for cubic nonlinear Schrödinger equation on the circle ⋮ Lower bound on the radius of analyticity of solution for fifth order KdV-BBM equation ⋮ On the radius of spatial analyticity for solutions of the Dirac-Klein-Gordon Equations in two space dimensions ⋮ Asymptotic lower bound for the radius of spatial analyticity to solutions of KdV equation

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