论文信息 - 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

We establish moment estimates for the invariant measure μ 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 on L1(μ) for the related Kolmogorov operator.

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