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math.AP2020
Observability for Schrödinger equations with quadratic Hamiltonians
Alden Waters
We consider time dependent harmonic oscillators and construct a parametrix to the corresponding Schrödinger equation using Gaussian wavepackets. This parametrix of Gaussian wavepac…
math.AP2020
Analytic properties of heat equation solutions and reachable sets
Alexander Strohmaier, Alden Waters
There recently has been some interest in the space of functions on an interval satisfying the heat equation for positive time in the interior of this interval. Such functions were…
math.SP2020
A relative trace formula for obstacle scattering
Florian Hanisch, Alexander Strohmaier, Alden Waters
We consider the case of scattering of several obstacles in for . In this setting the absolutely continuous part of the Laplace operator with Dirichlet…