Exponential mixing for SDEs forced by degenerate Levy noises

Mathematics – Probability

Scientific paper

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25 pages. Some small errors in the proof of Theorem 2.4 were corrected

Scientific paper

We modify the coupling method established in [44] and develop a technique to prove the exponential mixing of a 2D stochastic system forced by degenerate Levy noises. In particular, these Levy noises include \alpha-stable noises (0<\alpha<2). This technique is promising to study the exponential mixing problem of stochastic Navier-Stokes and complex Ginzburg-Landau equations driven by degenerate kick noises only with some p moment ([29])

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