Strong solutions to the stochastic quantization equations 论文

2003The Annals of Probability引用 295
Stochastic processes and financial applicationsMathematical Analysis and Transform MethodsAdvanced Mathematical Modeling in Engineering

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.