Gevrey Class Regularity of a Semigroup Associated with a Nonlinear Korteweg-de Vries Equation

Jixun Chu; Jean Michel Coron; Peipei Shang; Shu Xia Tang

doi:10.1007/s11401-018-1060-x

Gevrey Class Regularity of a Semigroup Associated with a Nonlinear Korteweg-de Vries Equation

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

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, the authors consider the Gevrey class regularity of a semigroup associated with a nonlinear Korteweg-de Vries (KdV for short) equation. By estimating the resolvent of the corresponding linear operator, the authors conclude that the semigroup generated by the linear operator is not analytic but of Gevrey class δ ∈ (3/2, ∞) for t > 0.

Original language	English
Pages (from-to)	201-212
Number of pages	12
Journal	Chinese Annals of Mathematics. Series B
Volume	39
Issue number	2
DOIs	https://doi.org/10.1007/s11401-018-1060-x
State	Published - Mar 1 2018

Keywords

Analytic semigroup
Gevrey class
Korteweg-de Vries equation
Resolvent estimation

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10.1007/s11401-018-1060-x

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abstract = "In this paper, the authors consider the Gevrey class regularity of a semigroup associated with a nonlinear Korteweg-de Vries (KdV for short) equation. By estimating the resolvent of the corresponding linear operator, the authors conclude that the semigroup generated by the linear operator is not analytic but of Gevrey class δ ∈ (3/2, ∞) for t > 0.",

keywords = "Analytic semigroup, Gevrey class, Korteweg-de Vries equation, Resolvent estimation",

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AU - Coron, Jean Michel

AU - Shang, Peipei

AU - Tang, Shu Xia

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KW - Resolvent estimation

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