Gevrey class regularity of a semigroup associated with a nonlinear Korteweg-de Vries equation

DOI10.1007/s11401-018-1060-xzbMath1392.35258OpenAlexW2792398305MaRDI QIDQ1754701

Shu-Xia Tang, Jixun Chu, Peipei Shang, Jean-Michel Coron

Publication date: 31 May 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-1060-x

zbMATH Keywords

Gevrey classKorteweg-de Vries equationanalytic semigroupresolvent estimation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) General topics in linear spectral theory for PDEs (35P05) Groups and semigroups of linear operators (47D03)

Related Items (2)

Null Controllability of a Linearized Korteweg--de Vries Equation by Backstepping Approach ⋮ Exponential convergence in \(H^1\) of \textit{hp}-FEM for Gevrey regularity with isotropic singularities

Cites Work

• Gevrey's and trace regularity of a semigroup associated with beam equation and non-monotone boundary conditions
• Semigroups of linear operators and applications to partial differential equations
• Stabilization of the Euler-Bernoulli equation via boundary connection with heat equation
• Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths
• Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
• Stabilization of the Korteweg-de Vries equation with localized damping
• Unnamed Item

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