Local Existence and Blow up for p-Laplacian Equation with Logarithmic Nonlinearity

Abstract

This paper deals with a problem of a wave equation with p-Laplacian and logarithmic nonlinearity term. By the contraction mapping criterion and following the proof lines in [15], we establish the local existence of weak solutions. Finally, under suitable conditions, we present the finite-time blow up of solutions for negative initial energy. .