Decay estimate and asymptotic behavior of small solutions to Schrodinger equations with subcritical dissipative nonlinearity

被引：0

作者：

Kita, Naoyasu ^{[1
]}

Nakamura, Yoshihisa ^{[1
]}

机构：

[1] Kumamoto Univ, Fac Adv Sci & Technol, Kumamoto 8608555, Japan

来源：

ASYMPTOTIC ANALYSIS FOR NONLINEAR DISPERSIVE AND WAVE EQUATIONS | 2019年 / 81卷

关键词：

nonlinear Schrodinger equation; decay estimate; asymptotic behavior; dissipative nonlinearity; sub-critical nonlinearity; LARGE TIME BEHAVIOR;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This manuscript presents some results on the decay estimate and asymptotic behavior of small solutions to the Cauchy problem of 1D Schrodinger equations with a sub-critical dissipative nonlinearity. Our aim is to determine the explicit lower bound of the nonlinear power for which certain a priori estimate of the solution works well.

引用

页码：121 / 138

页数：18

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