Spatial Analyticity of Solutions to Integrable Systems. I. The KdV Case

DOI10.1080/03605302.2013.771658zbMath1387.37065arXiv1109.6084OpenAlexW2009917801MaRDI QIDQ2841169

Alexei Rybkin

Publication date: 24 July 2013

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6084

zbMATH Keywords

inverse scattering transformSchrödinger operatorHankel operatorKorteweg-de Vries equationGevrey regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (12)

Rarefaction waves of the Korteweg-de Vries equation via nonlinear steepest descent ⋮ The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles ⋮ Parametrix problem for the Korteweg-de Vries equation with steplike initial data ⋮ Lower bounds on the radius of spatial analyticity for the higher order nonlinear dispersive equation on the real line ⋮ On unique continuation for non-local dispersive models ⋮ KdV equation beyond standard assumptions on initial data ⋮ On the trace-class property of Hankel operators arising in the theory of the Korteweg-de Vries equation ⋮ New lower bounds on the radius of spatial analyticity for the KdV equation ⋮ Observability Inequality at Two Time Points for KdV Equations ⋮ Analytic smoothing estimates for the Korteweg–de Vries equation with steplike data ⋮ Soliton Theory and Hankel Operators ⋮ On Peller’s characterization of trace class Hankel operators and smoothness of KdV solutions

Cites Work

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