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The ergodicity of stochastic generalized porous media equations with lévy jump
Authors:Guoli Zhou  Zhenting Hou
Affiliation:a School of Mathematics, Central South University, Changsha 410075, China
b College of Mathematics and Statistis, Changqing University, Chongqing 401331, China
Abstract:In this article, we first prove the existence and uniqueness of the solution to the stochastic generalized porous medium equation perturbed by Lévy process, and then show the exponential convergence of (pt)t ≥ 0 to equilibrium uniform on any bounded subset in H.
Keywords:stochastic porous medium equation    vy processes   ergodicity
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