Strong solutions to the stochastic quantization equations

成果类型:
Article
署名作者:
Da Prato, G; Debussche, A
署名单位:
Scuola Normale Superiore di Pisa
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
发表日期:
2003
页码:
1900-1916
关键词:
摘要:
We prove the existence and uniqueness of a strong solution of the stochastic quantization equation in dimension 2 for almost all initial data with respect to the invariant measure. The method is based on a fixed point result in suitable Besov spaces.