The regularized trace of a self adjoint differential operator of higher order with unbounded operator coefficient
APPLIED MATHEMATICS AND COMPUTATION, cilt.218, ss.2113-2121, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 218
- Basım Tarihi: 2011
- Doi Numarası: 10.1016/j.amc.2011.07.028
- Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2113-2121
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
Let L0 and L be operators which are formed by the differential expressions in the space H1 = L2(0,p; >H), with same boundary conditions, where H is an infinite dimensional separable Hilbert space. Here, A is an unbounded self adjoint operator in H and, for every x 2 [0,p], Q(x) is a selfadjoint trace class operator in H. Assuming the operator A and the operator function Q(x) satisfy some additional conditions, we found trace formula for the operator of higher order with unbounded operator coefficient.