2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.PR2015
Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula
Alexander Grigor'yan, Naotaka Kajino
We prove that for a general diffusion process, certain assumptions on its behavior \emph{only within a fixed open subset} of the state space imply the existence and sub-Gaussian ty…
math.PR2012
Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities
Alexander Grigor'yan, Shunxiang Ouyang, Michael Röckner
We prove upper and lower bounds of the heat kernel for the operator in $\mathbb{R}^{n}\setminus\{0} $ where . We obtain these bounds…
math.SP2010★ 2 cited
Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data
M. van den Berg, P. Gilkey, K. Kirsten +1
Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on bd(D), and non-negative initia…