Laurent Kayser

most citedObservations on gaussian upper bounds for Neumann heat kernels

9 citations · 9 across the 3 of their papers we have counts for

collaborators

4 papers

math.AP2015

A remark on the Gaussian lower bound for the Neumann heat kernel of the Laplace-Beltrami operator

Mourad Choulli, Laurent Kayser

We adapt in the present note the perturbation method introduced in [3] to get a Gaussian lower bound for the Neumann heat kernel of the Laplace-Beltrami operator on an open subset…

math.AP2015★ 9 cited

Observations on gaussian upper bounds for Neumann heat kernels

Mourad Choulli, Laurent Kayser, El Maati Ouhabaz

Given a domain $Ω$ of a complete Riemannian manifold $M$ and define $A$ to be the Laplacian with Neumann boundary condition on $Ω$ . We prove that, under appropr…

math.AP2013

Heat trace asymptotics and compactness of isospectral potentials for the Dirichlet Laplacian

Mourad Choulli, Laurent Kayser, Yavar Kian +1

Let $Ω$ be a $C^{\infty}$ -smooth bounded domain of $R^{n}$ , $n \geq 1$ , and let the matrix $a \in C^{\infty} (Ω; R^{n^{2}})$ be symmetric and uniformly elliptic. We…

math.AP2013

Gaussian lower bound for the Neumann Green function of ageneral parabolic operator

Mourad Choulli, Laurent Kayser

Based on the fact that the Neumann Green function can be constructed as a perturbation of the fundamental solution by a single-layer potential, we establish gaussian two-sided boun…