7 citations · 18 across the 23 of their papers we have counts for
4 papers · 1 filter
Singular limit problem of abstract second order evolution equations
Ryo Ikehata, Motohiro Sobajima
We consider the singular limit problem in a real Hilbert space for abstract second order evolution equations with a parameter . We first give an alternative…
Thresholds for low regularity solutions to wave equations with structural damping
Tomonori Fukushima, Ryo Ikehata, Hironori Michihisa
We study the asymptotic behavior of solutions to wave equations with a structural damping term \[ u_{tt}-Δu+Δ^2 u_t=0, \qquad u(0,x)=u_0(x), \,\,\, u_t(0,x)=u_1(x), \] in the whole…
Asymptotic profiles for damped plate equations with rotational inertia terms
Tomonori Fukushima, Ryo Ikehata, Hironori Michihisa
We consider the Cauchy problem for plate equations with rotational inertia and frictional damping terms. We will derive asymptotic profiles of the solution in L^2-sense as time goe…
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…