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Nonexistence of global solutions of a viscoelastic p(x)-Laplacian equation with logarithmic nonlinearity
  • LAKSHMIPRIYA NARAYANAN,
  • Gnanavel Soundararajan
LAKSHMIPRIYA NARAYANAN
Central University of Kerala

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Gnanavel Soundararajan
Central University of Kerala
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Abstract

In this work, we aim to obtain the existence and finite time blow up of weak solutions of a p(x) -Laplacian pseudo-parabolic equation with memory term and logarithmic nonlinearity. Moreover, we extract an upper bound for the blow up time by applying the concavity method and a lower bound using the differential inequality technique.