Exponential Ergodicity of stochastic Burgers equations driven by $α$-stable processes

In this work, we prove the strong Feller property and the exponential ergodicity of stochastic Burgers equations driven by $α/2$-subordinated cylindrical Brownian motions with $α\in(1,2)$. To prove the results, we truncate the nonlinearity and use the derivative formula for SDEs driven by $α$-stable noises established in Zhang (arXiv:1204.2630v2).

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