3 citations · 4 across the 6 of their papers we have counts for
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Asymptotic profile of L^2-norm of solutions for wave equations with critical log-damping
Ruy Coimbra Charão, Ryo Ikehata
We consider wave equations with a special type of log-fractional damping. We study the Cauchy problem for this model in the whole space, and we obtain an asymptotic profile and opt…
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…
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…
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…
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…
A Note on Decay Rates of the Local Energy for Wave Equations with Lipschitz Wavespeeds
Ruy Coimbra Charao, Ryo Ikehata
We consider the Cauchy problem for wave equations with variable coefficients in the whole space. We improve the rate of decay of the local energy, which has been recently studied b…