Lower bounds on the radius of analyticity for a system of modified KdV equations

DOI10.1016/J.JMAA.2020.124917zbMath1462.35333OpenAlexW3118563476MaRDI QIDQ1996332

A. Alexandrou Himonas, Renata O. Figueira

Publication date: 4 March 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124917

zbMATH Keywords

initial value problemBourgain spacestrilinear estimatesmodified Korteweg-devries equationuniform radius of spatial analyticitywell-posedness in analytic Gevrey spaces

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Evolution of the radius of analyticity for the generalized Benjamin equation ⋮ Improved lower bounds of analytic radius for the Benjamin-Bona-Mahony equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lower bounds on the radius of spatial analyticity for the KdV equation
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions
• A higher dispersion KdV equation on the line
• Sharp well-posedness for a coupled system of mKDV-type equations
• Well-posedness of the ``good Boussinesq equation in analytic Gevrey spaces and time regularity
• Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
• Nonlinear-Evolution Equations of Physical Significance
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• On the regularity of solutions to the 𝑘-generalized Korteweg-de Vries equation
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• A bilinear estimate with applications to the KdV equation
• Introduction to nonlinear dispersive equations

This page was built for publication: Lower bounds on the radius of analyticity for a system of modified KdV equations