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Discontinuity, Nonlinearity, and Complexity 12(3) (2023) 485--495 | DOI:10.5890/DNC.2023.09.002

Lakshmipriya Narayanan, Gnanavel Soundararajan

Department of Mathematics, Central University of Kerala, Kasargod, Kerala, India

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Abstract

In this work, we aim to obtain the existence of weak solutions of a $p(x)$ -Laplacian pseudo-parabolic equation with memory term and logarithmic nonlinearity. Moreover, a lower bound for blow up time is also established using the differential inequality technique when the solution blows up at a finite time $T^\star$.

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