Geometric control in the presence of a black box

Burq, Nicolas¹ ; Zworski, Maciej²

¹ Université Paris Sud, Mathématiques, Bât 425, 91405 Orsay Cedex, France
² Mathematics Department, University of California, Evans Hall, Berkeley, California 94720

Journal of the American Mathematical Society, Tome 17 (2004) no. 2, pp. 443-471

Résumé

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.

Détail

DOI : 10.1090/S0894-0347-04-00452-7

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