2 papers
math.AP2020
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…
math.AP2014
Local Smoothing Estimates near a Trapped Set with Infinitely Many Connected Components
Hans Christianson, Dylan Muckerman
We prove a local smoothing result for the Schrödinger equation on a class of surfaces of revolution which have infinitely many trapped geodesics. Our main result is a local smoothi…