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Authors: MOHAMED AMINE KERKER.
DOI: 10.24193/subbmath.2022.4.09
Published Online: 2022-12-02
Published Print: 2022-12-30
pp. 789-799
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In this paper we consider a class of quasilinear wave equations associated with initial and Dirichlet boundary conditions. Under certain conditions on α, β, m, p, we show that any solution with positive initial energy, blows up in finite time. Furthermore, a lower bound for the blow-up time will be given.
Mathematics Subject Classification (2010): 35B44, 35L05, 35L20, 35L72.
Keywords: Nonlinear wave equation, strong damping, blow-up.
