3 citations · 11 across the 15 of their papers we have counts for
18 papers
A role of potential on L^{2}-estimates for some evolution equations
Ryo Ikehata
In this papwe we consider an effective role of the potential of the wave equations with/without damping on the L^{2}-estimate of the solution itself. In the free wave equation case…
A note on local energy decay results for wave equations with a potential
Ryo Ikehata
In this paper we consider the local energy decay result for wave equations with a short-range potential. It is important to note that one never uses a finite speed of propagation p…
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…