New lower bounds on the radius of spatial analyticity for the KdV equation

New lower bounds on the radius of spatial analyticity for the KdV equation
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KdV 方程空间分析半径的新下界

DOI:
10.1016/j.jde.2018.10.025
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发表时间:
2018-04
影响因子:
2.4
通讯作者:
Wang Ming
Wang Ming
中科院分区:
数学2区
文献类型:
--
作者:
Huang Jianhua;Wang Ming

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The radius of spatial analyticity for solutions of the KdV equation is studied. It is shown that the analyticity radius does not decay faster than t− 1/4 as time t goes to infinity. This improves the works of Selberg and da Silva (2017)[30] and Tesfahun (2017)[34]. Our strategy mainly relies on a higher order almost conservation law in Gevrey spaces, which is inspired by the I-method.
DOI: 10.1007/s00023-017-0605-y
发表时间: 2017-06
期刊: Annales Henri Poincaré
影响因子: --
作者:
S. Selberg;Achenef Tesfahun
通讯作者: S. Selberg;Achenef Tesfahun
高索博列夫空间中弱阻尼 gKdV 方程的全局吸引子
DOI: 10.3934/dcds.2015.35.3799
发表时间: 2015-02
期刊: Discrete & Continuous Dynamical Systems - Series A
影响因子: --
作者:
Ming Wang
通讯作者: Ming Wang
DOI: 10.1007/s00023-016-0498-1
发表时间: 2016-06
期刊: Annales Henri Poincaré
影响因子: --
作者:
S. Selberg;Daniel Oliveira da Silva
通讯作者: S. Selberg;Daniel Oliveira da Silva
DOI: 10.3934/dcds.2010.26.1121
发表时间: 2009-12
影响因子: 1.1
作者:
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通讯作者: J. Bona;Z. Grujić;H. Kalisch
DOI: 10.1016/j.anihpc.2004.12.004
发表时间: 2005-11
影响因子: 1.9
作者:
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通讯作者: J. Bona;Z. Grujić;H. Kalisch