Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity

Abstract In this paper we consider the initial boundary value problem for a viscoelastic wave equation with strong damping and logarithmic nonlinearity of the form u t t ( x , t ) − Δ u ( x , t ) + ∫ 0 t g ( t − s ) Δ u ( x , s ) d s − Δ u t ( x , t ) = | u ( x , t ) | p − 2 u ( x , t ) ln | u ( x ,...

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Bibliographic Details

Published in:	Advances in Difference Equations
Main Authors:	Tae Gab Ha, Sun-Hye Park
Format:	Article
Language:	English
Published:	SpringerOpen 2020-06-01
Subjects:	Viscoelastic wave equation Logarithmic nonlinearity Local existence Finite time blow-up
Online Access:	http://link.springer.com/article/10.1186/s13662-020-02694-x