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http://dx.doi.org/10.4134/BKMS.b210853

BLOW UP OF SOLUTIONS FOR A PETROVSKY TYPE EQUATION WITH LOGARITHMIC NONLINEARITY  

Jorge, Ferreira (Department of Exact Sciences Federal Fluminense University)
Nazli, Irkil (Department of Mathematics Dicle University)
Erhan, Piskin (Department of Mathematics Dicle University)
Carlos, Raposo (Department of Mathematics Federal University of Bahia)
Mohammad, Shahrouzi (Department of Mathematics Jahrom University)
Publication Information
Bulletin of the Korean Mathematical Society / v.59, no.6, 2022 , pp. 1495-1510 More about this Journal
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;
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Times Cited By KSCI : 2  (Citation Analysis)
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