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

引用

页码：1206 / 1224

页数：19

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