Estimates for the ergodic measure and polynomial stability of plane stochastic curve shortening flow

Abstract

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 polynomial stability of the associated Markov semigroup. We also prove maximal dissipativity for the related Kolmogorov operator.

References in corpus (1)

• Ergodicity of Stochastic Curve Shortening Flow in the Plane

Cited by in corpus (5)

• Multi-valued, singular stochastic evolution inclusions
• Existence and Uniqueness of Invariant Measures for Stochastic Evolution Equations with Weakly Dissipative Drifts
• Stochastic evolution equations with singular drift and gradient noise via curvature and commutation conditions
• Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations
• Stability and moment estimates for the stochastic singular $\Phi$-Laplace equation