Gevrey Class Regularity of a Semigroup Associated with a Nonlinear Korteweg-de Vries Equation
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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.
KeywordsKorteweg-de Vries equation Resolvent estimation Analytic semigroup Gevrey class
2000 MR Subject Classification35Q53 35P05 47D03
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The authors thank Bingyu Zhang for his interesting comments and many valuable suggestions on this work.
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