Closing the gap in the purely elliptic generalized Davey-Stewartson system

Eden, A.; Erbay, H.; Muslu, Gülçin

doi:10.1016/j.na.2007.08.034

Closing the gap in the purely elliptic generalized Davey-Stewartson system

Atıf İçin Kopyala

Eden A., Erbay H. A., Muslu G. M.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.69, sa.8, ss.2575-2581, 2008 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 69 Sayı: 8
Basım Tarihi: 2008
Doi Numarası: 10.1016/j.na.2007.08.034
Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2575-2581
İstanbul Teknik Üniversitesi Adresli: Evet

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. (C) 2007 Elsevier Ltd. All rights reserved.