Ergodicity of Stochastic Dissipative Equations Driven by α-Stable Process

DOI10.1080/07362994.2013.843141zbMath1291.60137OpenAlexW2071107168MaRDI QIDQ5416836

Yingchao Xie, Xiaobin Sun

Publication date: 15 May 2014

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2013.843141

zbMATH Keywords

ergodicityirreducibility\(\alpha\)-stable processstrong Fellerstochastic dissipative equation

Mathematics Subject Classification ID

Stochastic integral equations (60H20)

Related Items (5)

Transition density estimates for diagonal systems of SDEs driven by cylindrical $\alpha$-stable processes ⋮ Ergodicity of stochastic magneto-hydrodynamic equations driven by \(\alpha\)-stable noise ⋮ Ergodicity of the stochastic coupled fractional Ginzburg-Landau equations driven by \(\alpha\)-stable noise ⋮ Pathwise uniqueness for a class of SPDEs driven by cylindrical \(\alpha \)-stable processes ⋮ Ergodicity of Stochastic Hydrodynamical-Type Evolution Equations Driven by $$\alpha $$-Stable Noise

Cites Work

• Invariant measures of stochastic \(2D\) Navier-Stokes equation driven by \(\alpha\)-stable processes
• Ergodicity of linear SPDE driven by Lévy noise
• Ergodicity of stochastic 2D Navier-Stokes equation with Lévy noise
• Exponential ergodicity and regularity for equations with Lévy noise
• Structural properties of semilinear SPDEs driven by cylindrical stable processes
• Global solutions of stochastic 2D Navier-Stokes equations with Lévy noise
• Parabolic SPDEs driven by Poisson white noise
• Derivative formulas and gradient estimates for SDEs driven by \(\alpha\)-stable processes
• Poincaré inequality for linear SPDE driven by Lévy noise
• EXPONENTIAL MIXING FOR SOME SPDEs WITH LÉVY NOISE
• Ergodicity for Infinite Dimensional Systems

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