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

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

Abstract 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.

Bibliographic Details
Main Authors: Qingying Hu, Jian Dang, Hongwei Zhang
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Boundary Value Problems
Subjects:
Kirchhoff equation
blow-up
strong damping
nonlinear dissipation
Online Access:http://link.springer.com/article/10.1186/s13661-017-0843-4

Internet

http://link.springer.com/article/10.1186/s13661-017-0843-4

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