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Stability of heat kernel estimates for symmetric jump processes on metric measure spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chen, Zhen-Qing Kumagai, Takashi Wang, Jian |
| Copyright Year | 2016 |
| Abstract | In this paper, we consider symmetric jump processes of mixed-type on metric measure spaces under general volume doubling condition, and establish stability of two-sided heat kernel estimates and heat kernel upper bounds. We obtain their stable equivalent characterizations in terms of the jumping kernels, variants of cut-off Sobolev inequalities, and the Faber-Krahn inequalities. In particular, we establish stability of heat kernel estimates for $\alpha$-stable-like processes even with $\alpha\ge 2$ when the underlying spaces have walk dimensions larger than $2$, which has been one of the major open problems in this area. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/1604.04035.pdf |
| Alternate Webpage(s) | http://www.kurims.kyoto-u.ac.jp/~kumagai/HKE_submitted.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
