MMN-4155
Existence and exponential decay of a logarithmic wave equation with distributed delay
Hazal Yüksekkaya; Erhan Pişkin;Abstract
In this article, we deal with a logarithmic wave equation with distributed delay. Firstly,
we establish the well-posedness by utilizing the semigroup theory. Later, we obtain the global
existence of solutions by using the well-depth method. Moreover, under appropriate assumptions on the weight of the distributed delay and that of strong damping, we get the exponential decay
results.
Vol. 24 (2023), No. 2, pp. 1057-1071
DOI: 10.18514/MMN.2023.4155