scholarly journals Heat kernel upper bounds for symmetric Markov semigroups

2021 ◽  
Vol 281 (4) ◽  
pp. 109074
Author(s):  
Zhen-Qing Chen ◽  
Panki Kim ◽  
Takashi Kumagai ◽  
Jian Wang
Keyword(s):  
Heat Kernel ◽  
Upper Bounds ◽  
Markov Semigroups

scholarly journals The Davies method revisited for heat kernel upper bounds of regular Dirichlet forms on metric measure spaces

2018 ◽  
Vol 30 (5) ◽  
pp. 1129-1155 ◽  
Author(s):  
Jiaxin Hu ◽  
Xuliang Li
Keyword(s):  
Heat Kernel ◽  
Upper Bound ◽  
Dirichlet Form ◽  
Measure Space ◽  
Dirichlet Forms ◽  
Upper Bounds ◽  
Metric Measure Spaces ◽  
Unified Approach ◽  
Measure Spaces ◽  
Non Local

AbstractWe apply the Davies method to prove that for any regular Dirichlet form on a metric measure space, an off-diagonal stable-like upper bound of the heat kernel is equivalent to the conjunction of the on-diagonal upper bound, a cutoff inequality on any two concentric balls, and the jump kernel upper bound, for any walk dimension. If in addition the jump kernel vanishes, that is, if the Dirichlet form is strongly local, we obtain a sub-Gaussian upper bound. This gives a unified approach to obtaining heat kernel upper bounds for both the non-local and the local Dirichlet forms.

scholarly journals Upper bounds on derivatives of the logarithm of the heat kernel

1998 ◽  
Vol 6 (4) ◽  
pp. 669-685 ◽  
Author(s):  
Daniel W. Stroock ◽  
James Turetsky
Keyword(s):  
Heat Kernel ◽  
Upper Bounds ◽  
Derivatives Of

scholarly journals Gaussian upper bounds for the heat kernel on arbitrary manifolds

1997 ◽  
Vol 45 (1) ◽  
pp. 33-52 ◽  
Author(s):  
Alexander Grigor\cprimeyan
Keyword(s):  
Heat Kernel ◽  
Upper Bounds
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