Strong solutions to the stochastic quantization equations

Giuseppe Da Prato, Arnaud Debussche

Type: Article

Publication Date: 2003-10-01

Citations: 284

DOI: https://doi.org/10.1214/aop/1068646370

Abstract

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.

Locations

The Annals of Probability - View - PDF

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