Identification of the unknown coefficient in a quasi-linear parabolic equation by a semigroup approach
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası:
- Basım Tarihi: 2013
- Doi Numarası: 10.1186/1029-242x-2013-212
- Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kocaeli Üniversitesi Adresli: Evet
Özet
This article presents a semigroup approach to the mathematical analysis of the inverse coefficient problems of identifying the unknown coefficient a(x, t) in the quasi-linear parabolic equation u(t)(x, t) = u(xx)(x, t) + a(x, t)u(x, t) with Dirichlet boundary conditions u(0, t) = psi(0), u(1, t) = psi(1). It is shown that the unknown coefficient a(x, t) can be approximately determined via the semigroup approach.