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

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.

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Veröffentlicht in:Boundary value problems 2017-08, Vol.2017 (1), p.1-10, Article 112
Hauptverfasser: Hu, Qingying, Dang, Jian, Zhang, Hongwei
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Approximations and Expansions
blow-up
Boundary value problems
Damping
Difference and Functional Equations
Dissipation
Kirchhoff equation
Mathematical analysis
Mathematics
Mathematics and Statistics
nonlinear dissipation
Ordinary Differential Equations
Partial Differential Equations
strong damping
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Beschreibung
Zusammenfassung: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.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-017-0843-4