Stochastic quasilinear viscoelastic wave equation with degenerate damping and source terms

被引：3

作者：

Kim, Sangil ^{[1
,2
]}

Park, Jong-Yeoul ^{[2
]}

Kang, Yong Han ^{[3
]}

机构：

[1] Hankuk Univ Foreign Studies, 81 Oedae Ro, Yongin 17035, Gyeonggi Do, South Korea

[2] Pusan Natl Univ, Dept Math, Busan 609735, South Korea

[3] Catholic Univ Daegu, Inst Liberal Educ, Gyongsan 712702, South Korea

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 11期

基金：

新加坡国家研究基金会;

关键词：

Stochastic quasilinear wave equation; Blow-up; Global existence; BLOW-UP;

D O I：

10.1016/j.camwa.2018.03.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a stochastic quasilinear viscoelastic wave equation with degenerate damping and source term. We prove the blow-up of solution for stochastic quasilinear viscoelastic wave equation with positive probability or explosive in energy sense. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：3987 / 3994

页数：8

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