Blow-up of Solutions for a Viscoelastic Equation with Nonlinear Boundary Damping and Interior Source

被引：0

作者：

Li, G. ^{[1
]}

Wang, D. ^{[1
]}

Zhu, B. ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2016年 / 6卷 / 02期

关键词：

boundary damping term; interior source term; viscoelastic wave equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the viscoelastic wave equation with nonlinear boundary damping -vertical bar y(t)(L,t)vertical bar(m-1)y(t)(L,t) and interior source vertical bar y(t)vertical bar(p-1)y(t). We obtain two blow-up results for the solution with negative initial energy as well as nonnegative initial energy.

引用

页码：103 / 116

页数：14

共 50 条

[1] Blow-up solutions for a nonlinear wave equation with boundary damping and interior source
Feng, Hongyinping
Li, Shengjia
Zhi, Xia
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2273 - 2280
[2] Blow-up of solutions for a viscoelastic equation with nonlinear damping
Yang Zhifeng
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2008, 6 (04): : 568 - 575
[3] General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions
Shun-Tang Wu
Zeitschrift für angewandte Mathematik und Physik, 2012, 63 : 65 - 106
[4] General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions
Wu, Shun-Tang
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2012, 63 (01): : 65 - 106
[5] Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms
Lee, Mi Jin
Kang, Jum-Ran
Park, Sun-Hye
BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)
[6] Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms
Mi Jin Lee
Jum-Ran Kang
Sun-Hye Park
Boundary Value Problems, 2019
[7] Global existence and blow-up of solutions for nonlinear viscoelastic wave equation with degenerate damping and source
Han, Xiaosen
Wang, Mingxin
MATHEMATISCHE NACHRICHTEN, 2011, 284 (5-6) : 703 - 716
[8] Blow-up for the wave equation with nonlinear source and boundary damping terms
Fiscella, Alessio
Vitillaro, Enzo
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2015, 145 (04) : 759 - 778
[9] Blow-up and Polynomial Decay of Solutions for a Viscoelastic Equation with a Nonlinear Source
Xiong, Yangping
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2012, 31 (03): : 251 - 266
[10] Blow-Up of Solutions for a System Viscoelastic Equation with Balakrishnan–Taylor Damping and Nonlinear Source of Polynomial Type
Alaeddine D.
International Journal of Applied and Computational Mathematics, 2020, 6 (4)

← 1 2 3 4 5 →