Anthony Graves‐McCleary

collaborators

2 papers

math.AP2025

Heat Kernel Estimates for Schrödinger 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 Schrödinger operator $Δ + W$ in the domain above the graph of a bounded Lipschitz function, in the case whe…

math.AP2025

Heat Kernel Estimates for Schrödinger Operators with Decay at Infinity on Parabolic Manifolds

Anthony Graves-McCleary, Laurent Saloff-Coste

We give estimates for positive solutions for the Schrödinger equation $(Δ_{μ} + W) u = 0$ on a wide class of parabolic weighted manifolds $(M, d μ)$ when $W$ decays to zero at infinity fas…