12 citations · 16 across the 3 of their papers we have counts for
4 papers
Gaussian heat kernel estimates: from functions to forms
Thierry Coulhon, Baptiste Devyver, Adam Sikora
On a complete non-compact Riemannian manifold satisfying the volume doubling property, we give conditions on the negative part of the Ricci curvature that ensure that, unless there…
Heat Kernel And Riesz Transform Of Schrodinger Operators
Baptiste Devyver
The goal of this article is twofold: in a first part, we prove Gaussian estimates for the heat kernel of Schr{ö}dinger operators delta + V whose potential V is "small at infinity"…
Optimal Hardy inequalities in cones
Baptiste Devyver, Yehuda Pinchover, Georgios Psaradakis
Let be an open connected cone in with vertex at the origin. Assume that the operator is {\em subcritical} in , where is the…
On the finiteness of the Morse Index for Schrödinger operators
Baptiste Devyver
Let H= be a Schrödinger on a complete non-compact manifold. It is known since the work of Fischer-Colbrie and Schoen that the finiteness of the negative spectrum of implie…