39 citations · 127 across the 28 of their papers we have counts for
7 papers · 1 filter
Orthonormal Spectral Cluster Bounds on Manifolds with Nonpositive Curvature
Jean-Claude Cuenin, Ngoc Nhi Nguyen, Xiaoyan Su
Let be a closed -dimensional Riemannian manifold with nonpositive sectional curvature. We prove sharp, logarithmically improved spectral cluster bounds for orthonormal s…
Spectral cluster bounds for orthonormal functions on manifolds with nonsmooth metrics
Jean-Claude Cuenin, Ngoc Nhi Nguyen, Xiaoyan Su
We establish spectral cluster bounds for families of orthonormal functions associated to the Laplace-Beltrami operator on a compact Riemannian manifold. The metric is only as…
Resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds
Jean-Claude Cuenin
We prove resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds at the critical exponent. Our proof only uses known bounds for the Hadamard para…
Fourier transform of surface--carried measures of two-dimensional generic surfaces and applications
Jean-Claude Cuenin, Robert Schippa
We give a simple proof of the sharp decay of the Fourier-transform of surface-carried measures of two-dimensional generic surfaces. The estimates are applied to prove Strichartz an…
Sharp time decay estimates for the discrete Klein-Gordon equation
Jean-Claude Cuenin, Isroil A. Ikromov
We establish sharp time decay estimates for the the Klein-Gordon equation on the cubic lattice in dimensions . The dispersive decay rate is $|t|^{…
From spectral cluster to uniform resolvent estimates on compact manifolds
Jean-Claude Cuenin
It is well known that uniform resolvent estimates imply spectral cluster estimates. We show that the converse is also true in some cases. In particular, the universal spectral clus…
resolvent estimates for magnetic Schrödinger operators with unbounded background fields
Jean-Claude Cuenin, Carlos Kenig
We prove and smoothing estimates for the resolvent of magnetic Schrödinger operators. We allow electromagnetic potentials that are small perturbations of a smooth, but possib…