Closing the gap in the purely elliptic generalized Davey-Stewartson system
Yükleniyor...
Dosyalar
Tarih
2008-10-15
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this note we improve the results presented previously on global existence and global nonexistence for the Solutions of the purely elliptic generalized Davey-Stewartson system. These results left a gap in the parameter range where neither a global existence result nor a global nonexistence result could be established. Here we are able to show that when the coupling parameter is negative there is no gap. Moreover, in the case where the coupling parameter is positive we reduce the size of the gap.
Açıklama
The work of the first author is supported by Bogazici University Research Fund.
Anahtar Kelimeler
Davey-Stewartson System, Global Existence, Blow-up, Nonlinear Schrodinger Equation, Packets, Waves, Schrödinger equation, Semilinear wave, Gallium alloys, Nonlinear equations, Coupling parameters, Dinger equation, Parameter range, Mathematical techniques, Nonlinear analysis
Kaynak
Nonlinear Analysis, Theory, Methods and Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
69
Sayı
8
Künye
Eden, A., Erbay, H. A. & Muslu, G. M. (2008). Closing the gap in the purely elliptic generalized Davey–Stewartson system. Nonlinear Analysis, 69(8), 2575-2581. doi:10.1016/j.na.2007.08.034
