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On transformations of mooth measure related to parabolic and hyperbolic differential equations in infinite dimensions

 

作者: L.Yu Daletskiǐ,   V.R. Steblovskaya,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 1998）
卷期: Volume 16, issue 5  

页码: 945-963

 

ISSN:0736-2994

 

年代: 1998

 

DOI:10.1080/07362999808809572

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

We consider an evolutionof a smooth measure μ related to parabolic and hyperbolic differential equations in infinite dimensions. In both cases conditions under which the initial measure is invariant with respect to corresponding evolution are given. For the case of parabolic equation we obtain conditions of the absolute continuityand a formula for the density

 

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