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Blow up of solutions for a Petrovsky type equation with logarithmic nonlinearity
Jorge Ferreira,Nazli Irkil,Erhan Piskin,Carlos Raposo,Mohammad Shahrouzi 대한수학회 2022 대한수학회보 Vol.59 No.6
This paper aims to investigate the initial boundary value problem of the nonlinear viscoelastic Petrovsky type equation with nonlinear damping and logarithmic source term. We derive the blow-up results by the combination of the perturbation energy method, concavity method, and differential-integral inequality technique.