On the inverse conductivity problem

Yildiz B., Sever A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.94, sa.1, ss.91-96, 1998 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 94 Sayı: 1
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1016/s0096-3003(97)10033-9
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.91-96
  • Atatürk Üniversitesi Adresli: Hayır

Özet

It is shown here that for the boundary value problem div(a del u) = delta(x*) in [R-n, u(x) --> 0 as \x\ --> infinity in order to identify the coefficient a, one needs the additional data u(x,x*) = g(x,x*), where x is an element of Gamma(1), x* is an element of Gamma(2), Gamma(1), Gamma(2) are two open nonempty subsurfaces of partial derivative Omega (Omega is a domain with analytic boundary which contains a bounded set V) and a is an element of H(2p)p greater than or equal to n/2, and a satisfies conditions of Lemma 2. Here we also prove the uniqueness of a entering to the problem the additional data. (C) 1998 Elsevier Science Inc. All rights reserved.