A. Grigor’yan

activity

20102026

most citedExistence of positive solutions to some nonlinear equations on locally finite graphs

108 citations · 294 across the 20 of their papers we have counts for

collaborators

Showing 2012 · math.PRShow all

2 papers · 2 filters

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 $Δ - \nabla (\frac{1}{∣ x ∣ ^{α}}) \cdot \nabla$ in $\mathbb{R}^{n}\setminus\{0} $ where $α > 0$ . We obtain these bounds…

math.PR2012★ 91 cited

Two-sided estimates of heat kernels on metric measure spaces

Alexander Grigor'yan, Andras Telcs

We prove equivalent conditions for two-sided sub-Gaussian estimates of heat kernels on metric measure spaces.