Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces
By Alexander Grigorʼyan, Jiaxin Hu. 2008
72 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0cb7882bf4a2491638c369e186eb098ad1f73e48
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Takashi Kumagai
- Alexander Grigorʼyan
- Jiaxin Hu
- Martin T. Barlow
- Ka-Sing Lau
- Zhen-Qing Chen
- Jian Wang
- András Telcs
In Geometry and Topology
- Takashi Kumagai
- Alexander Grigorʼyan
- Jiaxin Hu
- Martin T. Barlow
- Ka-Sing Lau
- Zhen-Qing Chen
- Jun Kigami
- M. Folz
In Mathematical Physics
- Alexander Grigorʼyan
- Jiaxin Hu
- Martin T. Barlow
- Ka-Sing Lau
- Takashi Kumagai
- Zhen-Qing Chen
- Jian Wang
- M. Kassmann
Citations in the corpus
- Upper Bounds of Heat Kernels on Doubling Spaces (2014, background): “The proofs here are based on the weak parabolic maximum principle [18].”
- Heat kernel estimates for the fractional Laplacian with Dirichlet conditions (2009, unknown): “Regarding other recent estimates [20, 17, 36, 23, 3] for the transition density and potential kernel of jump-type processes, we need to point out that generally these only concern processes without killing.”
- Heat Kernels and Green Functions on Metric Measure Spaces (2014, background): “There are a vast literature to devote to some of these questions, for example, in [2, 6, 13, 14, 15, 17, 32, 33, 34, 36, 37, 38, 39] for the Euclidean spaces or Riemannian manifolds, in [8, 10, 24, 25] for torus or infinite graphs, in [3, 5, 9, 27] for certain classes of fractals and in [12, 26, 28,”
- TWO-SIDED ESTIMATES OF HEAT KERNELS ON METRIC MEASURE SPACES (2012, unknown): “[30], [29, Sec.”
- Estimates of heat kernels for non-local regular Dirichlet forms (2014, methodology): “(2) We prove new simple relations between the truncated and original heat semigroups, using the parabolic maximum principle developed in [15].”
- On the equivalence of parabolic Harnack inequalities and heat kernel estimates (2012, methodology): “Remark. The condition (2.12) can be verified in applications using the following result from [ 15 ]: if u 2F and u v for some v 2F ⌦ then u+ 2F ⌦.”
- Heat Kernels on Metric Measure Spaces (2014, unknown): “(Tβ) =⇒ (Texp) (see also [25]).”