Blow-up of solutions for a viscoelastic equation with nonlinear damping

• Autorzy: Yang Zhifeng
• Języki publikacji: EN

Abstrakty

EN

The initial boundary value problem for a viscoelastic equation with nonlinear damping in a bounded domain is considered. By modifying the method, which is put forward by Li, Tasi and Vitillaro, we sententiously proved that, under certain conditions, any solution blows up in finite time. The estimates of the life-span of solutions are also given. We generalize some earlier results concerning this equation.

Słowa kluczowe

EN

viscoelastic equation; initial boundary value problem; blow-up; life-span

Kategorie tematyczne

• 35L70: Nonlinear second-order hyperbolic equations
• 35L05: Wave equation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 4
• Strony: 568-575

Daty

wydano

2008-12-01

online

2008-10-08

Twórcy

autor

Yang Zhifeng

• Hengyang Normal University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-008-0051-7