Anthony Graves‐McCleary

collaborators

3 papers

math.AP2025

Heat Kernel Estimates for SchrÃ¶dinger Operators in the Domain Above a Bounded Lipschitz Function

Anthony Graves-McCleary

We give matching upper and lower bounds for the Dirichlet heat kernel of a SchrÃ¶dinger operator $I^ + W$ in the domain above the graph of a bounded Lipschitz function, in the case w…

math.AP2025

Heat Kernel Estimates for SchrÃ¶dinger Operators with Decay at Infinity on Parabolic Manifolds

Anthony Graves-McCleary, Laurent Saloff-Coste

We give estimates for positive solutions for the SchrÃ¶dinger equation $(I^_{I^} ¼ + W) u = 0$ on a wide class of parabolic weighted manifolds $(M, d I^¼)$ when $W$ decays to zero at infinity…

math.PR2024

The Boundary Harnack Principle and the 3G Principle in Fractal-Type Spaces

Anthony Graves-McCleary, Laurent Saloff-Coste

We prove a generalized version of the $3 G$ Principle for Green's functions on bounded inner uniform domains in a wide class of Dirichlet spaces. In particular, our results apply to…