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math.AP2021
Double diffusion structure of logarithmically damped wave equations with a small parameter
Alessandra Piske, Ruy Coimbra Charão, Ryo Ikehata
We consider a wave equation with a nonlocal logarithmic damping depending on a small parameter . This research is a counter part of that was initiated by Charao-D'Abb…
math.AP2021
A dissipative logarithmic-Laplacian type of plate equation: Asymptotic profile and decay rates
Ruy Coimbra Charao, Alessandra Piske, Ryo Ikehata
We introduce a new model of the logarithmic type of wave like plate equation with a nonlocal logarithmic damping mechanism. We consider the Cauchy problem for this new model in the…