84 citations · 169 across the 34 of their papers we have counts for
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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…
Some remarks on large-time behaviors for the linearized compressible Navier-Stokes equations
Wenhui Chen, Ryo Ikehata
In this paper, we consider the linearized compressible Navier-Stokes equations in the whole space . Concerning initial datum with suitable regularities, we introduce…
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…
Strongly damped wave equations with mass-like terms of the logarithmic-Laplacian
Alessandra Piske, Ruy Coimbra Charão, Ryo Ikehata
We consider strongly damped wave equations with logarithmic mass-like terms with a parameter . This research is a part of a series of wave equations that was initiated…
Optimal large-time estimates and singular limits for thermoelastic plate equations with the Fourier law
Wenhui Chen, Ryo Ikehata
In this paper, we study asymptotic behaviors for classical thermoelastic plate equations with the Fourier law of heat conduction in the whole space , where we introdu…