Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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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

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