Energy Scattering of a Generalized Davey-Stewartson System in Three Dimension

被引：1
|
作者：
Lu, Jing [1 ]
Tang, Xing Dong [2 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2017年 / 33卷 / 09期
关键词：
Davey-Stewartson system; scatter; global well-posedness; GLOBAL WELL-POSEDNESS; NONLINEAR SCHRODINGER-EQUATION; DEFOCUSING HARTREE EQUATION; BLOW-UP; SHARP THRESHOLD; STANDING WAVES; CAUCHY-PROBLEM; INSTABILITY; EXISTENCE;
D O I：
10.1007/s10114-017-6301-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the global scattering result of the solution for the generalized Davey-Stewartson system { i partial derivative(t)u + Delta u = vertical bar u vertical bar(2) u + uv(x1), (t,x) is an element of R x R-3, -Delta v = (vertical bar u vertical bar(2))(x1). The main difficulties are the failure of the interaction Morawetz estimate and the asymmetrical structure of nonlinearity (in particular, the nonlinearity is non-local). To compensate, we utilize the strategy derived from concentration-compactness idea, which was first introduced by Kenig and Merle
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页码：1206 / 1224
页数：19
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