Blow-up of solutions to a class of Kirchhoff equations with strong damping and nonlinear dissipation. (English) Zbl 1378.35184
Summary: 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.
MSC:
| 35L20 | Initial-boundary value problems for second-order hyperbolic equations |
| 35L72 | Second-order quasilinear hyperbolic equations |
| 35R09 | Integro-partial differential equations |
| 35B44 | Blow-up in context of PDEs |
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