Far-field patterns for time-harmonic acoustic plane waves in an inhomogeneous medium


Anar I., Misir A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.111, sa.1, ss.103-119, 2000 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 111 Konu: 1
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1016/s0096-3003(98)10121-2
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.103-119

Özet

This paper is concerned with the class of far-field patterns corresponding to the scattering of time-harmonic acoustic plane waves by an inhomogeneous medium which have rho(i)(x) > 0 continuously differentiable density. This class is shown to be complete in L-2(delta Omega) (where delta Omega is the unit sphere) under the same restriction. The existence of a unique weak solution to the interior transmission problem is also established. (C) 2000 Elsevier Science Inc. All rights reserved.