Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps
Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps
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DOI：
10.1007/s00209-008-0326-5
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发表时间：
2007-02
影响因子：
0.8
通讯作者：
M. Barlow;R. Bass;T. Kumagai
中科院分区：
文献类型：
--
作者：
M. Barlow;R. Bass;T. Kumagai
我们研究了抛物型Harnack不等式、热核估计、一些几何条件和一些分析条件之间的关系。与扩散过程的情形不同，抛物型Harnack不等式一般不包含相应的热核估计。
We investigate the relationships between the parabolic Harnack inequality, heat kernel estimates, some geometric conditions, and some analytic conditions for random walks with long range jumps. Unlike the case of diffusion processes, the parabolic Harnack inequality does not, in general, imply the corresponding heat kernel estimates.