Blow-up of arbitrarily positive initial energy solutions for a viscoelastic wave system with nonlinear damping and source terms

Boundary Value Problems

Qingping Wang¹  Yuanzhang Zhao¹ 

[1] School of Mathematical Sciences, Ocean University of China;

关键词: Viscoelastic wave system;    Nonlinear damping;    Blow-up;    Arbitrarily positive initial energy;   

DOI  :  10.1186/s13661-018-0951-9

来源: DOAJ

【 摘 要 】

Abstract This work is concerned with the Dirichlet initial boundary problem for a semilinear viscoelastic wave system with nonlinear weak damping and source terms. For nonincreasing positive functions g and h, we show the finite time blow-up of some solutions whose initial data have arbitrarily high initial energy.

【 授权许可】

Unknown