Invariant measures for the stochastic von Karman plate equation

被引：8
|
作者：
Kim, JU [1 ]
机构：
[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2005年 / 36卷 / 05期
关键词：
von Karman plate equation; Brownian motion; stopping time; existence of a solution; invariant measure; probability distribution; tightness;
D O I：
10.1137/S0036141003438854
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of an invariant measure for the von Karman plate equation with random noise. The nonlinear term which symbolizes the von Karman equation inhibits the standard procedure for the existence of an invariant measure. We propose a technically different approach to handle such intricate nonlinear equations.
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页码：1689 / 1703
页数：15
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