Geometric control in the presence of a black box

Nicolas Burq, Maciej Zworski

Type: Article

Publication Date: 2004-02-03

Citations: 206

DOI: https://doi.org/10.1090/s0894-0347-04-00452-7

Abstract

We apply the "black box scattering" point of view to problems in control theory for the Schrödinger equation and in high energy eigenvalue scarring. We show how resolvent bounds with origins in scattering theory, combined with semi-classical propagation, give quantitative control estimates. We also show how they imply control for time dependent problems.

Locations

Journal of the American Mathematical Society - View - PDF

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