Publications [#330333] of Alexander A. Kiselev

Papers Published

1. Kiselev, AA; Popov, IY, Indefinite metric and scattering by a domain with a small hole, Mathematical Notes, vol. 58 no. 6 (January, 1995), pp. 1276-1285, Springer Nature [doi]
   (last updated on 2026/01/15)

   Abstract:
   For the problem of plane waves scattered by a domain with a small hole, we suggest a model based on the theory of self-adjoint extensions of symmetric operators in a space with indefinite metric. For two-dimensional problems of scattering on a line with a hole and on a semi-ellipse connected by a hole with a half-plane, we justify the choice of extension that guarantees the coincidence of the model solution with the solution of the “actual” problem in the far zone with a high degree of accuracy. © 1996, Plenum Publishing Corporation. All rights reserved.