Blow-up of solutions to a class of Kirchhoff equations with strong damping and nonlinear dissipation

Boundary value problems

Hongwei Zhang¹  Jian Dang¹  Qingying Hu¹ 

[1] Department of Mathematics, Henan University of Technology, Zhengzhou, China

关键词: Kirchhoff equation;    blow-up;    strong damping;    nonlinear dissipation;   

DOI  :  10.1186/s13661-017-0843-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The initial boundary value problem of a class of Kirchhoff equations with strong damping and nonlinear dissipation is considered. By modifying Vitillaro’s argument, we prove a blow-up result for solutions with positive and negative initial energy respectively.

【 授权许可】

CC BY