Document Zbl 1156.35436

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Blow-up for solution of a system of quasilinear hyperbolic equations involving the \(p\)-Laplacian. (English) Zbl 1156.35436

Bull. Belg. Math. Soc. - Simon Stevin 15, No. 3, 499-508 (2008).

Summary: We study the blow-up for the solution of a system of quasilinear hyperbolic equations involving the \(p\)-Laplacian. We derive a differential inequality for a function involving some norms of the solution which yields the finite time blow-up.

MSC:

35L70	Second-order nonlinear hyperbolic equations
35L20	Initial-boundary value problems for second-order hyperbolic equations
35B40	Asymptotic behavior of solutions to PDEs
35L55	Higher-order hyperbolic systems

Keywords:

differential inequality

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