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Irreducibility and ergodicity of SPDEs driven by pure jump noise

发布日期:2026-06-02点击数:

报告人:翟建梁 教授(中国科技大学)

时间:2026年06月16日 10:00-

地点:理科楼LA103


摘要:We develop a new and effective method to obtain the irreducibility of SPDEs and SDEs drivenby multiplicative pure jump noise. The conditions placed on the coefficients and the drivingnoise are very mild. As an application of our main results, we derive new irreducibility resultsof a large class of equations driven by pure jump noise, including SPDEs with locally monotonecoefficients, SPDEs/SDEs with singular coefficients, nonlinear Schrodinger equations etc. Weemphasize that under our setting the driving noises could be compound Poisson processes,even allowed to be infinite dimensional. As further applications of the main results, we obtainthe ergodicity of multi-valued, singular stochastic evolution inclusions such as stochastic 1-Laplacian evolution(total variation flow), stochastic sign fast diffusion equation, stochasticminimal surface flow, stochastic curve shortening flow, etc.


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