Publications [#330330] of Alexander A. Kiselev

Papers Published

1. Kiselev, A, Some examples in one-dimensional "geometric" scattering on manifolds, Journal of Mathematical Analysis and Applications, vol. 212 no. 1 (August, 1997), pp. 263-280, Elsevier BV [doi]
   (last updated on 2025/01/30)

   Abstract:
   We consider "geometric" scattering for a Laplace-Beltrami operator on a compact Riemannian manifold inserted between "wires," that is, two half-lines. We discuss applicability and correctness of this model. With an example, we show that such a scattering problem may exhibit unusual properties: the transition coefficient has a sequence of sharp peaks which become more and more distant at high energy and otherwise turns to zero. © 1997 Academic Press.