Existence and Nonexistence of Global Solutions for a Wave System with Different Structural Damping Terms

被引：2

作者：

Dao, Tuan Anh ^{[1
,2
]}

机构：

[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet Rd, Hanoi, Vietnam

[2] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet Rd, Hanoi, Vietnam

来源：

VIETNAM JOURNAL OF MATHEMATICS | 2023年 / 51卷 / 02期

关键词：

Structural damping; Weakly coupled system; Global existence; Loss of decay; Critical exponent; MAXIMUM PRINCIPLE; CAUCHY-PROBLEM; L-P; EQUATION; PROFILES;

D O I：

10.1007/s10013-021-00517-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study the Cauchy problem for a weakly coupled system of semi-linear wave equations with different structural damping terms. The main goal is to find the threshold, which classifies the existence of small data global (in time) solutions or the nonexistence of global solutions under the growth condition of the nonlinearities.

引用

页码：289 / 310

页数：22

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