Mathematical behavior of solutions for a logarithmic p-Laplacian
equation with distributed delay
Erhan Pişkin, Hazal Yüksekkaya
In this article, we concerned with a logarithmic
p-Laplacian equation with distributed internal delay. Firstly, we obtain the
global existence of solutions by utilizing the well-depth method. Later,
under appropriate assumptions on the weight of the delay and that of
frictional damping, we establish the exponential decay. Moreover, we obtain
the blow up results for negative initial energy.
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