Global Analysis for Rough Solutions to the Davey-Stewartson System

被引：0
|
作者：
Yang, Han [2 ]
Fan, Xiaoming [2 ]
Zhu, Shihui [1 ]
机构：
[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China
[2] SW Jiaotong Univ, Coll Math, Chengdu 610031, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
基金：
中国国家自然科学基金;
关键词：
NONLINEAR SCHRODINGER-EQUATION; WELL-POSEDNESS; MASS CONCENTRATION; CAUCHY-PROBLEM; EXISTENCE; WAVE; SCATTERING; PACKETS; DECAY;
D O I：
10.1155/2012/578701
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The global well-posedness of rough solutions to the Cauchy problem for the Davey-Stewartson system is obtained. It reads that if the initial data is in H-s with s > 2/5, then there exists a global solution in time, and the H-s norm of the solution obeys polynomial-in-time bounds. The new ingredient in this paper is an interaction Morawetz estimate, which generates a new space-time L-t,x(4) estimate for nonlinear equation with the relatively general defocusing power nonlinearity.
引用
收藏
页数：22
相关论文
共 50 条
  • [31] EXISTENCE, STABILITY AND ASYMPTOTIC BEHAVIOUR OF NORMALIZED SOLUTIONS FOR THE DAVEY-STEWARTSON SYSTEM
    He, Zhiqian
    Feng, Binhua
    Liu, Jiayin
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, : 5937 - 5966
  • [32] New Solitary-Wave Solutions for Davey-Stewartson II System
    Li, Donglong
    Zhang, Mingjun
    Guo, Yanfeng
    INTERNATIONAL CONFERENCE ON FRONTIERS OF ENERGY, ENVIRONMENTAL MATERIALS AND CIVIL ENGINEERING (FEEMCE 2013), 2013, : 514 - 519
  • [33] Existence of pseudo-conformally invariant solutions to the Davey-Stewartson system
    Cipolatti, R
    Kavian, O
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 176 (01) : 223 - 247
  • [34] Variational approach to the derivation of the Davey-Stewartson system
    Sedletsky, Yu V.
    FLUID DYNAMICS RESEARCH, 2016, 48 (01)
  • [35] 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)
  • [36] Darboux Transformations and Global Explicit Solutions for Nonlocal Davey-Stewartson I Equation
    Zhou, Zi-Xiang
    STUDIES IN APPLIED MATHEMATICS, 2018, 141 (02) : 186 - 204
  • [37] Some Results for the Davey-Stewartson System on a Circle
    Chen, Tsai-Jung
    Fang, Yung-Fu
    Hong, Ying-Ji
    PROGRESS IN INDUSTRIAL AND CIVIL ENGINEERING, PTS. 1-5, 2012, 204-208 : 4429 - +
  • [38] ON THE HAMILTONIAN-FORMALISM FOR THE DAVEY-STEWARTSON SYSTEM
    VILLARROEL, J
    ABLOWITZ, MJ
    INVERSE PROBLEMS, 1991, 7 (03) : 451 - 460
  • [39] Soliton solutions to the nonlocal Davey-Stewartson III equation
    Fu, Heming
    Ruan, Chenzhen
    Hu, Weiying
    MODERN PHYSICS LETTERS B, 2021, 35 (01):
  • [40] On the Davey-Stewartson system with singular initial data
    Villamizar-Roa, E. J.
    Perez-Lopez, J. E.
    COMPTES RENDUS MATHEMATIQUE, 2012, 350 (21-22) : 959 - 964
12345