THE SUPPORT OF THE SOLUTION TO A HYPERBOLIC SPDE

被引:28
作者
MILLET, A
SANZSOLE, M
机构
[1] UNIV BARCELONA,FAC MATEMAT,E-08007 BARCELONA,SPAIN
[2] UNIV PARIS 06,PROBABIL LAB,URA 224,F-75252 PARIS 05,FRANCE
关键词
D O I
10.1007/BF01192259
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper we prove Stroock-Varadhan type theorems for the topological support of a hyperbolic stochastic partial differential equation in the alpha-Holder norm, for alpha is-an-element-of (0, 1/2). Our approach is based on absolutely continuous transformations of OMEGA defined using non-homogeneous approximations of the Brownian sheet.
引用
收藏
页码:361 / 387
页数:27
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