Laurent Saloff-Coste

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20242026

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math.AP2025

Dirichlet eigenfunction and heat kernel estimates on annular domains

Brian Chao, Laurent Saloff-Coste

Motivated by Euclidean boxes, we consider "thin" annular domains of the form $U = (a, b) \times U_{0} \subseteq R^{n}$ in polar coordinates, where the spherical base $U_0\subseteq…

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…