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Akademisyenler > Nigar YILDIRIM AKSOY > Yayın Detayı

The variational formulation of an inverse problem for multidimensional nonlinear time dependent Schrödinger equation    
Yazarlar (1)
Prof. Dr. Nigar YILDIRIM AKSOY Prof. Dr. Nigar YILDIRIM AKSOY
Kafkas Üniversitesi, Türkiye
Devamını Göster
Özet
AbstractIn this paper, an inverse problem of determining the unknown coefficient of a multidimensional nonlinear time-dependent Schrödinger equation that has a complex number at nonlinear part is considered. The inverse problem is reformulated as a variational one which aims to minimize the observation functional. This paper presents existence and uniqueness theorems of solutions of the constituted variational problem, the gradient of the observation functional and a necessary condition for the solution of the variational problem.
Anahtar Kelimeler
Multidimensional nonlinear time-dependent Schrodinger equation | inverse problem | variational method | Frechet differentiability
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
Dergi ISSN 0928-0219 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 10-2016
Cilt No 24
Sayı 5
Sayfalar 559 / 571
Doi Numarası 10.1515/jiip-2015-0029
Makale Linki http://www.degruyter.com/view/j/jiip.2016.24.issue-5/jiip-2015-0029/jiip-2015-0029.xml
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 3
The variational formulation of an inverse problem for multidimensional nonlinear time dependent Schrödinger equation

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