TIME-DECAY RATES OF GLOBAL SOLUTIONS TO THE MULTI-DIMENSIONAL GENERALIZED DOUBLE DISPERSION EQUATION

被引：0

作者：

Wang, Yinxia ^{[1
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 01期

关键词：

Generalized double dispersion equation; global solutions; time-decay rate; BOUNDARY-VALUE-PROBLEM; CAUCHY-PROBLEM; ASYMPTOTIC-BEHAVIOR; EXISTENCE; ATTRACTOR;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial value problem for the multi-dimensional generalized double dispersion equation is investigated in this article. Under small condition on the initial data, time-decay rates of global solutions and its derivatives are established. The negative Sobolev norms of the initial data in low frequency are shown to enhance the time-decay rates of global solutions. The proof is based on the spectral analysis for the solution operator and flexible interpolation trick.

引用

页码：123 / 135

页数：13

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