Dispersive Estimates and Asymptotic Behavior for a Generalized Boussinesq-Type Equation

被引：0

作者：

Liu, Guowei ^{[1
]}

Wang, Wei ^{[1
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2023年 / 46卷 / 05期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Boussinesq equation; Dispersive estimate; Existence; Decay; Scattering; SMALL AMPLITUDE SOLUTIONS; GLOBAL EXISTENCE; CAUCHY-PROBLEM; WELL-POSEDNESS; BLOW-UP; DECAY; SCATTERING; SPACES;

D O I：

10.1007/s40840-023-01567-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the Cauchy problem for a generalized Boussinesq-type equation in R-n. We establish a dispersive estimate for the linear group associated with the generalized Boussinesq-type equation. As applications, the global existence, decay and scattering of solutions are established for small initial data.

引用

页数：24

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