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

Probability;Analysis of PDEs