# Support theorem for a singular semilinear stochastic partial differential equation

Source: [Support theorem for a singular semilinear stochastic partial differential equation](<https://www.sota2.com/research/paper/68fa53501e209131ce982698>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:40.167Z

Authors: K. Chouk, P.K. Friz

Published: 2014-09-15T13:27:56.000Z

## Abstract

We consider the generalized parabolic Anderson equation (gPAM) in 2 dimensions with periodic boundary. This is an example of a singular semilinear stochastic partial differential equations, solutions of which require renormalization and have only be understood recently via Hairer's regularity structures and, in some cases equivalently, paracontrollled distributions due to Gubinelli, Imkeller and Perkowski. In the present paper we describe the law of gPAM, by establishing a Stroock{Varadhan type support theorem in suitable Holder{Besov spaces.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1409.4250>)

[PDF](<https://arxiv.org/pdf/1409.4250.pdf>)