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

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

2010-08-11

arxiv.org/abs/1008.1961v1

Mathematics

Probability

Scientific paper

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.

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