Coupling for some partial differential equations driven by white noise
Analysis of PDEs
2007-05-23 v1 Probability
Abstract
We prove, using coupling arguments, exponential convergence to equilibrium for reaction--diffusion and Burgers equations driven by space-time white noise. We use a coupling by reflection.
Cite
@article{arxiv.math/0410441,
title = {Coupling for some partial differential equations driven by white noise},
author = {Giuseppe Da Prato and Arnaud Debussche and Luciano Tubaro},
journal= {arXiv preprint arXiv:math/0410441},
year = {2007}
}