【摘 要】
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We consider mixed-type jump processes on metric measure spaces and prove the stability of parabolic Harnack inequalities.We establish their stable equivalen
【机 构】
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University of Washington,USA
【出 处】
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The 11th Workshop on Markov Processes and Related topics(第十一
论文部分内容阅读
We consider mixed-type jump processes on metric measure spaces and prove the stability of parabolic Harnack inequalities.We establish their stable equivalent characterizations in terms of the jump kernels,modifications of cut-off Sobolev inequalities,and the Poincaré inequalities.In particular,we prove the stability of parabolic Harnack inequalities for α-stable-like processes even with α≥2 when the underlying spaces have walk dimensions larger than 2,which has been one of the major open problems in this area.This is a joint work with Z.-Q.Chen(Seattle)and T.Kumagai(Kyoto).
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