6 papers
Pointwise Weyl Laws for Quantum Completely Integrable Systems
Suresh Eswarathasan, Allan Greenleaf, Blake Keeler
The study of the asymptotics of the spectral function for self-adjoint, elliptic differential, or more generally pseudodifferential, operators on a compact manifold has a long hist…
Asymptotics for the spectral function on Zoll manifolds
Yaiza Canzani, Jeffrey Galkowski, Blake Keeler
Let be a Zoll manifold, i.e., a smooth, compact, Riemannian manifold without boundary all of whose geodesics are closed with a minimal common period . The positive defin…
Pointwise dispersive estimates for Schrödinger operators on product cones
Blake Keeler, Jeremy L. Marzuola
We investigate the dispersive properties of solutions to the Schrödinger equation with a weakly decaying radial potential on cones. If the potential has sufficient polynomial decay…
Sharp exponential decay rates for anisotropically damped waves
Blake Keeler, Perry Kleinhenz
In this article, we study energy decay of the damped wave equation on compact Riemannian manifolds where the damping coefficient is anisotropic and modeled by a pseudodifferential…
A logarithmic improvement in the two-point Weyl law for manifolds without conjugate points
Blake Keeler
In this paper, we study the two-point Weyl Law for the Laplace-Beltrami operator on a smooth, compact Riemannian manifold with no conjugate points. That is, we find the asympto…
Pseudospectra of Matrix Pencils for Transient Analysis of Differential-Algebraic Equations
Mark Embree, Blake Keeler
To understand the solution of a linear, time-invariant differential-algebraic equation, one must analyze a matrix pencil (A,E) with singular E. Even when this pencil is stable (all…