Existence, Blow-up and Exponential Decay Estimates for the Nonlinear Kirchhoff Carrier Wave Equation in an Annular with Robin-Dirichlet Conditions

被引：0

作者：

Ngoc, Le Thi Phuong ^{[1
]}

Son, Le Huu Ky ^{[2
,3
]}

Long, Nguyen Thanh ^{[4
]}

机构：

[1] Univ Khanh Hoa, 01 Nguyen Chanh Str, Nha Trang City, Vietnam

[2] Univ Sci, Ho Chi Minh City, Vietnam

[3] Ho Chi Minh City Univ Food Ind, Fac Appl Sci, 140 Le Trong Tan Str, Ho Chi Minh City, Vietnam

[4] Univ Sci Ho Chi Minh City, Dept Math & Comp Sci, 227 Nguyen Cu Str,Dist 5, Ho Chi Minh City, Vietnam

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2021年 / 61卷 / 04期

关键词：

Nonlinear Kirchhoff-Carrier wave equation; Blow-up; Exponential decay; BOUNDARY-CONDITIONS; GLOBAL EXISTENCE; STABILITY;

D O I：

10.5666/KMJ.2021.61.4.859

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of a nonlinear Kirchhoff-Carrier wave equation in an annulus associated with Robin-Dirichlet conditions. At first, by applying the Faedo-Galerkin method, we prove existence and uniqueness results. Then, by constructing a Lyapunov functional, we prove a blow up result for solutions with a negative initial energy and establish a sufficient condition to obtain the exponential decay of weak solutions.

引用

页码：859 / 888

页数：30

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