Lower bounds for blow-up time of a nonlinear viscoelastic wave equation

Boundary value problems

Guo Zhenhua¹  Yang Lu¹  Liang Fei² 

[1] Department of Mathematics, Northwest University, Xi An, China;Department of Mathematics, Xi An University of Science and Technology, Xi An, China

关键词: lower bounds;    blow-up;    viscoelastic wave equations;    60H15;    35L05;    35L70;   

DOI  :  10.1186/s13661-015-0479-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with the blow-up for a class of nonlinear viscoelastic wave equation. Under certain conditions on the data, we construct a lower bound for the blow-up time when blow-up occurs.

【 授权许可】

CC BY