Regularisation of reaction-diffusion equations by multiplicative noise

Kostantinos Dareiotis (U Leeds)

Feb 13. 2024, 11:00 — 11:40

We consider the stochastic reaction-diffusion equation in 1 + 1 dimensions driven by multiplicative

space-time white noise with distributional drift  belonging in the negative Hölder space C^\alpha with

\alpha > −1. We assume that the diffusion coefficient  is sufficiently regular and nondegenerate. By

using a combination of stochastic sewing and Malliavin calculus, we show that the equation admits

a unique strong solution. This is a joint work in progress with Teodor Holland and Khoa Lê. 

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Stochastic Partial Differential Equations (Workshop)
Sandra Cerrai (U of Maryland)
Martin Hairer (Imperial College London)
Carlo Marinelli (University College London)
Eulalia Nualart (U Barcelona)
Luca Scarpa (Politecnico Milano)
Ulisse Stefanelli (U of Vienna)