18 citations · 35 across the 6 of their papers we have counts for
6 papers
Estimates for the ergodic measure and polynomial stability of plane stochastic curve shortening flow
Abelhadi Es-Sarhir, Max von Renesse, Wilhelm Stannat
We establish moment estimates for the invariant measure of a stochastic partial differential equation describing motion by mean curvature flow in (1+1) dimension, leading to polyno…
Ergodicity of Stochastic Curve Shortening Flow in the Plane
A. Es-Sarhir, M. -K. von Renesse
We study a model of the motion by mean curvature of an (1+1) dimensional interface in a 2D Brownian velocity field. For the well-posedness of the model we prove existence and uniqu…
Improved moment estimates for invariant measures of semilinear diffusions in Hilbert spaces and applications
Abdelhadi Es-Sarhir, Wilhelm Stannat
We study regularity properties for invariant measures of semilinear diffusions in a separable Hilbert space. Based on a pathwise estimate for the underlying stochastic convolution,…
Harnack Inequality for Functional SDEs with Bounded Memory
A. Es-Sarhir, M-K. von Renesse, M. Scheutzow
We use a coupling method for functional stochastic differential equations with bounded memory to establish an analogue of Wang's dimension-free Harnack inequality \cite{MR1481127}.…
Invariant measures for monotone SPDE's with multiplicative noise term
A. Es-Sarhir, M. Scheutzow, J. M. Tölle +1
We study diffusion processes corresponding to infinite dimensional semilinear stochastic differential equations with local Lipschitz drift term and an arbitrary Lipschitz diffusion…
Invariant measures for stochastic functional differential equations with superlinear drift term
Abdelhadi Es--Sarhir, Onno van Gaans, Michael Scheutzow
We consider a stochastic functional differential equation with an arbitrary Lipschitz diffusion coefficient depending on the past. The drift part contains a term with superlinear g…