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

被引：1

作者：

Eden, Alp ^{[1
,2
]}

Hacinliyan, Irma ^{[3
]}

机构：

[1] Bogazici Univ, Dept Math, TR-34342 Bebek, Turkey

[2] Feza Gursey Inst, TUBITAK, TR-34684 Cengelkoy, Turkey

[3] Istanbul Tech Univ, Dept Math, TR-34469 Maslak, Turkey

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 24期

关键词：

INITIAL-VALUE PROBLEM; LOCAL EXISTENCE; COUPLE-STRESSES; TIME;

D O I：

10.1088/1751-8113/42/24/245208

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：13

共 39 条

[1] On the integrability of a generalized Davey-Stewartson system
Eden, A.
Gurel, T. B.
PHYSICA D-NONLINEAR PHENOMENA, 2013, 259 : 1 - 7
[2] Small solitons and multisolitons in the generalized Davey-Stewartson system
Bai, Mengxue
Zhang, Jian
Zhu, Shihui
ADVANCES IN NONLINEAR ANALYSIS, 2023, 12 (01)
[3] A new criterion and the limit of blowup solutions for a generalized Davey-Stewartson system
Huang, Juan
Li, Yulin
Yang, Yunya
JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (12)
[4] Global smoothing for the Davey-Stewartson system on R2
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JOURNAL OF EVOLUTION EQUATIONS, 2022, 22 (02)
[5] Multi-solitons for a generalized Davey-Stewartson system
Wang Zhong
Cui ShangBin
SCIENCE CHINA-MATHEMATICS, 2017, 60 (04) : 651 - 670
[6] On the initial value problem and scattering of solutions for the generalized Davey-Stewartson systems
王保祥
郭柏灵
Science China Mathematics, 2001, (08) : 994 - 1002
[7] On the initial value problem and scattering of solutions for the generalized Davey-Stewartson systems
Wang B.
Guo B.
Science in China Series A: Mathematics, 2001, 44 (8): : 994 - 1002
[8] A GLOBAL EXISTENCE AND BLOW-UP THRESHOLD FOR DAVEY-STEWARTSON EQUATIONS IN R3
Li, Shiming
Li, Yongsheng
Yan, Wei
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2016, 9 (06): : 1899 - 1912
[9] Local existence in time of solutions to the elliptic-hyperbolic Davey-Stewartson system without smallness condition on the data
Nakao Hayashi
Journal d’Analyse Mathématique, 1997, 73 : 133 - 164
[10] The Cauchy problem for the elliptic-hyperbolic Davey-Stewartson system in Sobolev space
Wang, Yuzhao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 367 (01) : 174 - 192

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