A note on the global existence of small amplitude solutions to a generalized Davey-Stewartson system

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Eden A., Hacınlıyan İ.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol.42, no.24, 2009 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 42 Issue: 24
• Publication Date: 2009
• Doi Number: 10.1088/1751-8113/42/24/245208
• Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Istanbul Technical University Affiliated: Yes

Abstract

In this paper, we are interested in the Cauchy problem for a generalized Davey-Stewartson (GDS) system. We establish the global time existence of small mass solutions for the GDS system in the elliptic-hyperbolic-hyperbolic case.