Global Existence and Long-Term Behavior of a Nonlinear Schrodinger-Type Equation
UKRAINIAN MATHEMATICAL JOURNAL, cilt.67, sa.1, ss.74-97, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 67 Sayı: 1
- Basım Tarihi: 2015
- Doi Numarası: 10.1007/s11253-015-1066-4
- Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.74-97
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Hacettepe Üniversitesi Adresli: Hayır
Özet
We study a global mixed problem for the nonlinear Schrodinger equation with a nonlinear term in which the coefficient is a generalized function. A global solvability theorem for the analyzed problem is proved by using the general solvability theorem from [K. N. Soltanov, Nonlin. Anal.: Theory, Meth., Appl., 72, No. 1 (2010)]. We also investigate the behavior of the solution of the problem under consideration.