✦ LIBER ✦
Lp-uniqueness of Kolmogorov operators associated with 2D-stochastic Navier-Stokes-Coriolis equations
✍ Scribed by Wilhelm Stannat
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 141 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We prove that the Kolmogorov operator associated with stochastic Navier‐Stokes‐Coriolis equations on the 2D‐Torus is m‐dissipative in the space L^p^(μ) for any p ∈ [1, ∞[, where μ is an infinitesimally invariant measure. The proof is based on exponential moment estimates on μ related to the enstrophy and pointwise gradient estimates on the transition semigroup induced by finite dimensional approximations.