Existence and Uniqueness of Invariant Measures for Stochastic Evolution Equations with Weakly Dissipative Drifts

@article{Liu2011ExistenceAU,
  title={Existence and Uniqueness of Invariant Measures for Stochastic Evolution Equations with Weakly Dissipative Drifts},
  author={Wei Liu and Jonas M. Tolle},
  journal={Electronic Communications in Probability},
  year={2011},
  volume={16},
  pages={447-457}
}
  • Wei Liu, Jonas M. Tolle
  • Published 2011
  • Mathematics
  • Electronic Communications in Probability
  • In this paper, a new decay estimate for a class of stochastic evolution equations with weakly dissipative drifts is established, which directly implies the uniqueness of invariant measures for the corresponding transition semigroups. Moreover, the existence of invariant measures and the convergence rate of corresponding transition semigroup to the invariant measure are also investigated. As applications, the main results are applied to singular stochastic $p$-Laplace equations and stochastic… CONTINUE READING

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