Quick search Find article
Quick search
Find article

Exponential mixing for a stochastic partial differential equation driven by degenerate noise

M Hairer

Show affiliations


Recommended by F Otto

We study stochastic partial differential equations of the reaction-diffusion type. We show that, even if the forcing is highly degenerate (i.e. does not have full rank), there is exponential convergence towards the invariant measure. The convergence takes place in the topology induced by a weighted variation norm and uses a kind of (uniform) Doeblin condition.


PACS

02.30.Jr Partial differential equations

02.50.Ey Stochastic processes

02.40.Re Algebraic topology

05.40.Ca Noise

05.60.-k Transport processes

MSC

35K65 Parabolic partial differential equations of degenerate type

35K57 Reaction-diffusion equations

60H15 Stochastic partial differential equations (See also 35R60)

Subjects

Mathematical physics

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 2 (March 2002)

Received 10 April 2001, in final form 17 December 2001

Published 6 February 2002



View by subject




Export






Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.