Existence and blow‐up studies of a p(x)‐Laplacian parabolic equation with memory
Lakshmipriya Narayanan, Gnanavel Soundararajan · Mathematical Methods in the Applied Sciences · 2020
In this paper, we establish existence and finite time blowup of weak solutions of a parabolic equation of p(x)‐Laplacian type with the Dirichlet boundary condition. Moreover, we obtain upper and lower bounds for the blow‐up time of solutions, by employing concavity method and differential inequality technique, respectively.