This article is cited in 36 papers

Extension theory and localization of resonances for domains of trap type

I. Yu. Popov

Leningrad Institute of Precision Mechanics and Optics

Abstract: The existence of a series of resonances located near the real axis is proved for the problem of scattering on a domain with a small aperture (narrow slit) (a domain of trap type). A method is presented for computing the resonances, based on a model of slits of zero width, based in turn on the theory of selfadjoint extensions of symmetric operators.

UDC: 517.9

MSC: Primary 97A20, 35P25, 47A40; Secondary 35J05, 78A45, 70K30

Received: 21.09.1989

 English version: Mathematics of the USSR-Sbornik, 1992, 71:1, 209–234

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