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math.AP2020★ 1 cited
A dissiptive logarithmic type evolution equation: asymptotic profile and optimal estimates
Alessandra Piske, Ruy Coimbra Charão, Ryo Ikehata
We introduce a new model of the logarithmic type of wave-like equation with a nonlocal logarithmic damping mechanism, which is rather weakly effective as compared with frequently s…
math.AP2020★ 3 cited
Asymptotic profile and optimal decay of solutions of some wave equations with logarithmic damping
Ruy Coimbra Charao, Ryo Ikehata
We introduce a new model of the nonlocal wave equations with a logarithmic damping mechanism. We consider the Cauchy poroblem for the new model in the whole space. We study the asy…