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math.OC2018
Rank optimality for the Burer-Monteiro factorization
Irène Waldspurger, Alden Waters
When solving large scale semidefinite programs that admit a low-rank solution, an efficient heuristic is the Burer-Monteiro factorization: instead of optimizing over the full matri…
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…