Properties of the far field operator for time harmonic acoustic waves

Ates Ü.

APPLIED MATHEMATICS AND COMPUTATION, cilt.174, sa.2, ss.1206-1215, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 174 Sayı: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.06.008
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1206-1215
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper the eigenvalues of the far field operator according to the inverse scattering problem for time harmonic acoustic waves in the nonhomogeneous medium are characterized with an inequality. In addition to we prove the far field operator is one to one and its range is dense. In this paper we consider del rho not equal 0, where rho is an element of C-1(IR3) is the density of the absorbing medium. (c) 2005 Elsevier Inc. All rights reserved.