A REMARK ON DECAY RATES OF SOLUTIONS FOR A SYSTEM OF QUADRATIC NONLINEAR SCHRODINGER EQUATIONS IN 2D

被引：0

作者：

Katayama, Soichiro ^{[1
]}

Li, Chunhua ^{[2
]}

Sunagawa, Hideaki ^{[3
]}

机构：

[1] Wakayama Univ, Dept Math, Wakayama 6408510, Japan

[2] Yanbian Univ, Dept Math, Yanji 133002, Peoples R China

[3] Osaka Univ, Dept Math, Grad Sch Sci, Toyonaka, Osaka 5600043, Japan

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2014年 / 27卷 / 3-4期

关键词：

DISSIPATIVE NONLINEARITIES; LARGE TIME; BEHAVIOR;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the initial value problem for a three-component system of quadratic nonlinear Schrodinger equations with mass resonance in two space dimensions. Under a suitable condition on the coefficients of the nonlinearity, we will show that the solution decays strictly faster than O(t(-1)) as t -> +infinity in L-infinity by providing an enhanced decay estimate of order O((t log t)(-1)). Differently from the previous works, our approach does not rely on the explicit form of the asymptotic profile of the solution at all.

引用

页码：301 / 312

页数：12

共 11 条

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