Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation

Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
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DOI:
10.1016/j.anihpc.2004.12.004
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发表时间:
2005-11
影响因子:
1.9
通讯作者:
J. Bona;Z. Grujić;H. Kalisch
J. Bona;Z. Grujić;H. Kalisch
中科院分区:
数学1区
文献类型:
--
作者:
J. Bona;Z. Grujić;H. Kalisch

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The generalized Korteweg–de Vries equation has the property that solutions with initial data that are analytic in a strip in the complex plane continue to be analytic in a strip as time progresses. Established here are algebraic lower bounds on the possible rate of decrease in time of the uniform radius of spatial analyticity for these equations. Previously known results featured exponentially decreasing bounds.