On optimal exponential decay properties of solutions to the Korteweg-de Vries equation

DOI10.1016/j.jde.2017.06.013zbMath1427.35233OpenAlexW2732916246MaRDI QIDQ1785919

Carlos Antonio León, Pedro Isaza J.

Publication date: 2 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.jde.2017.06.013

zbMATH Keywords

exponential decayKorteweg de Vries equationKato estimates

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

• On decay properties of solutions of the \(k\)-generalized KdV equation
• Decay properties for solutions of fifth order nonlinear dispersive equations
• Low-regularity bilinear estimates for a quadratic nonlinear Schrödinger equation
• On uniqueness properties of solutions of the \(k\)-generalized KdV equations
• Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
• Remarks on the Korteweg-de Vries equation
• Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• On the ill-posedness of some canonical dispersive equations.
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• The initial-value problem for the Korteweg-de Vries equation
• Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
• A bilinear estimate with applications to the KdV equation
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