The ergodicity of stochastic generalized porous media equations with lévy jump |
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Authors: | Guoli Zhou Zhenting Hou |
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Affiliation: | a School of Mathematics, Central South University, Changsha 410075, China b College of Mathematics and Statistis, Changqing University, Chongqing 401331, China |
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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. |
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Keywords: | stochastic porous medium equation Lé vy processes ergodicity |
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