Analysis of a semigroup approach in the inverse problem of identifying an unknown coefficient

DEMİR A., ÖZBİLGE E.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.31, sa.14, ss.1635-1645, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 14
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1002/mma.989
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1635-1645
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This article presents a semigroup approach to the mathematical analysis of the inverse coefficient problems of identifying file Unknown coefficient k(u(x)) in file quasi-linear parabolic equation u(t)(x,t) = (k(u(x))u(x)(x,t))(x) +F(x,t), with Dirichlet boundary conditions u(0,t)=psi(0), u(l,t) = psi(1) and funclion F(x,t). The main purpose of this paper is to investigate the distinguishability of the input-out mappings phi[center dot]:k -> C-1[0,T], psi[center dot]:K -> C-1[0,T] via semigroup theory. Copyright (C) 2008 John Wiley & Sons, Ltd.