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math.AP2019

Geometric and Obstacle Scattering at Low Energy

Alexander Strohmaier, Alden Waters

We consider scattering theory of the Laplace Beltrami operator on differential forms on a Riemannian manifold that is Euclidean at infinity. The manifold may have several boundary…

math.AP2018

Asymptotics for optimal design problems for the Schrödinger equation with a potential

Alden Waters, Ekaterina Merkurjev

We study the problem of optimal observability and prove time asymptotic observability estimates for the Schrödinger equation with a potential in , with $Ω\subset \ma…

math.AP2018

Unique Determination of Sound Speeds for Coupled Systems of Semi-linear Wave Equations

Alden Waters

We consider coupled systems of semi-linear wave equations with different sound speeds on a finite time interval and a bounded Lipschitz domain in , with b…