Asymptotic profiles of solutions to sixth order Boussinesq-type equations with damping

被引：2

作者：

Wang, Yinxia ^{[1
,2
]}

机构：

[1] Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 494卷 / 02期

关键词：

Sixth order Boussinesq-type equations; Global solutions; Time-decay rates; Asymptotic profiles; DOUBLE DISPERSION-EQUATION; GLOBAL EXISTENCE; WAVE-EQUATIONS; BEHAVIOR;

D O I：

10.1016/j.jmaa.2020.124637

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the initial value problem for sixth-order Boussinesq-type equations with damping. The decay structure of this equation is of the regularity-loss type, which causes difficulty in proving global solutions in the high frequency region. We establish global existence and time-decay rates of solutions for spaces with dimension n >= 2 by introducing the time-weighted norm and a version of the Banach fixedpoint theorem. Moreover, the asymptotic profile of global solutions is obtained for n >= 3. (c) 2020 Elsevier Inc. All rights reserved.

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页数：23

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