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| Gevrey Class Regularity of a Semigroup Associated with a Nonlinear Korteweg-de Vries Equation |
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Citation： |
Jixun CHU,Jean-Michel CORON,Peipei SHANG,Shu-Xia TANG.Gevrey Class Regularity of a Semigroup Associated with a Nonlinear Korteweg-de Vries Equation[J].Chinese Annals of Mathematics B,2018,39(2):201~212 |
| Page view： 1261
Net amount： 933 |
Authors： |
Jixun CHU; Jean-Michel CORON;Peipei SHANG;Shu-Xia TANG |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11401021, 11471044, 11771336, 11571257),
the LIASFMA, the ANR project Finite4SoS (No.ANR 15-CE23-0007) and
the Doctoral Program of Higher Education of China
(Nos.20130006120011, 20130072120008). |
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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
$\delta\in\big(\frac32,\infty\big)$ for $t>0$. |
Keywords： |
Korteweg-de Vries equation, Resolvent estimation, Analyticsemigroup, Gevrey class |
Classification： |
35Q53, 35P05, 47D03 |
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