138 citations · 1.3k across the 90 of their papers we have counts for
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math.AP2009★ 1 cited
On some strong ratio limit theorems for heat kernels
M. Fraas, D. Krejcirik, Y. Pinchover
We study strong ratio limit properties of the quotients of the heat kernels of subcritical and critical operators which are defined on a noncompact Riemannian manifold.
math.AP2009★ 4 cited
The Hardy inequality and the heat equation in twisted tubes
David Krejcirik, Enrique Zuazua
We show that a twist of a three-dimensional tube of uniform cross-section yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in the tube.…
math.SP2009
Geometric versus spectral convergence for the Neumann Laplacian under exterior perturbations of the domain
Jose M. Arrieta, David Krejcirik
We analyze the behavior of the eigenvalues and eigenfunctions of the Laplace operator with homogeneous Neumann boundary conditions when the domain is perturbed. We focus on exterio…