Lower bounds on the radius of spatial analyticity for the KdV equation

DOI10.1007/s00023-016-0498-1zbMath1366.35161arXiv1508.06116OpenAlexW2255092385MaRDI QIDQ517423

Sigmund Selberg, Daniel Oliveira da Silva

Publication date: 23 March 2017

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06116

zbMATH Keywords

a priori estimatesglobal existenceanalyticity

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45)

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Cites Work

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• A note on ill posedness for the KdV equation.
• On the Korteweg-de Vries equation
• Gevrey regularity of the periodic gKdV equation
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• Analytic well-posedness of periodic gKdV
• Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
• Remarks on the Korteweg-de Vries equation
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
• Multilinear estimates for periodic KdV equations, and applications
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• Local well-posedness for the periodic Korteweg-de Vries equation in analytic Gevrey classes
• On the radius of spatial analyticity for the 1d Dirac-Klein-Gordon equations
• Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
• The initial-value problem for the Korteweg-de Vries equation
• Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• A bilinear estimate with applications to the KdV equation

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