Abstract
This paper deals with a parabolic p(x)-Laplace equation with logarithmic source uq(x)logu. The singular properties of solutions are determined completely by classifying the initial energy. Moreover, we obtain a new extinction rate of solutions, where the order of the extinction rate is greater than the maximum of variable exponent q(x). This kind of extinction rate could reflect the influence of logarithmic functions on the extinction of solutions more reasonably.
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