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19942026
most citedTraining Schrödinger's cat: quantum optimal control

779 citations

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Showing 2011 · math.APShow all

11 papers · 2 filters

math.AP2011★ 8 cited

Stability estimates for determination of potential from the impedance boundary map

Mikhail Isaev, Roman Novikov

We study the impedance boundary map (or Robin-to-Robin map) for the Schrodinger equation in open bounded demain at fixed energy in multidimensions. We give global stability estimat…

math.AP2011

A geometric approach for convexity in some variational problem in the Gauss space

Michael Goldman

In this short note we prove the convexity of minimizers of some variational problem in the Gauss space. This proof is based on a geometric version of an older argument due to Korev…

math.AP2011★ 16 cited

On the gradient flow of a one-homogeneous functional

Ariela Briani, Antonin Chambolle, Matteo Novaga +1

We consider the gradient flow of a one-homogeneous functional, whose dual involves the derivative of a constrained scalar function. We show in this case that the gradient flow is r…

math.AP2011★ 10 cited

New global stability estimates for the Calderón problem in two dimensions

Matteo Santacesaria

We prove a new global stability estimate for the Gel'fand-Calderón inverse problem on a two-dimensional bounded domain or, more precisely, the inverse boundary value problem for th…

math.AP2011★ 202 cited

On viscosity solutions of path dependent PDEs

Ibrahim Ekren, Christian Keller, Nizar Touzi +1

In this paper we propose a notion of viscosity solutions for path dependent semi-linear parabolic PDEs. This can also be viewed as viscosity solutions of non-Markovian backward SDE…

math.AP2011★ 9 cited

Approximation and relaxation of perimeter in the Wiener space

Michael Goldman, Matteo Novaga

We characterize the relaxation of the perimeter in an infinite dimensional Wiener space, with respect to the weak L^2-topology. We also show that the rescaled Allen-Cahn functional…