Integration of Brownian vector fields

成果类型:
Article
署名作者:
Le Jan, Y; Raimond, O
署名单位:
Universite Paris Saclay
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
发表日期:
2002
页码:
826-873
关键词:
摘要:
Using the Wiener chaos decomposition, we show that strong solutions of non-Lipschitzian stochastic differential equations are given by random Markovian kernels. The example of Sobolev flows is studied in some detail, exhibiting interesting phase transitions.