28 citations · 73 across the 29 of their papers we have counts for
38 papers
Wave Decay with Singular Damping
Hans Christianson, Emmanuel Schenck, Michael Taylor
We consider the stabilization problem on a manifold with boundary for a wave equation with measure-valued linear damping. For a wide class of measures, containing Dirac masses on h…
Control estimates for 0th order pseudodifferential operators
Hans Christianson, Jian Wang, Ruoyu P. T. Wang
We introduce the control conditions for 0th order pseudodifferential operators whose real parts satisfy the Morse--Smale dynamical condition. We obtain microlocal cont…
Energy Distribution for Dirichlet Eigenfunctions on Right Triangles
Hans Christianson, Daniel Pezzi
In this paper, we continue the study of eigenfunctions on triangles initiated by the first author in \cite{Chr-tri} and \cite{Chr-simp}. The Neumann data of Dirichlet eigenfunction…
Non-concentration and restriction bounds for Neumann eigenfunctions of piecewise bounded planar domains
Hans Christianson, John A. Toth
Let be a piecewise-smooth, bounded convex domain in and consider -normalized Neumann eigenfunctions with eigenvalue and t…
Conformal Perturbations and Local Smoothing
Hans Christianson, Dylan Muckerman
The purpose of this paper is to study the effect of conformal perturbations on the local smoothing effect for the Schrödinger equation on surfaces of revolution. The paper \cite{Ch…
Asymptotic Boundary Observability for the Schrödinger Equation on Simplices
Sarah Carpenter, Hans Christianson
We consider the Schrödinger equation on an -dimensional simplex with Dirichlet boundary conditions. We use a commutator argument along with integration by p…