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Bull. Korean Math. Soc. 2022; 59(6): 1495-1510

Online first article November 14, 2022      Printed November 30, 2022

https://doi.org/10.4134/BKMS.b210853

Copyright © The Korean Mathematical Society.

Blow up of solutions for a Petrovsky type equation with logarithmic nonlinearity

Jorge Ferreira, Nazl\i \, Irk\i l, Erhan Pi\c{s}kin, Carlos Raposo , Mohammad Shahrouzi

Federal Fluminense University; Dicle University; Dicle University; Federal University of Bahia; Jahrom University

Abstract

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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.

Keywords: Blow up, Petrovsky-type equation, logarithmic nonlinearity

MSC numbers: Primary 35L20, 35L70

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