Hironori Michihisa

activity

20162019

most citedAsymptotic profiles for damped plate equations with rotational inertia terms

1 citations · 2 across the 4 of their papers we have counts for

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math.AP2019

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…

math.AP2019

Study of semi-linear $σ$ -evolution equations with frictional and visco-elastic damping

Hironori Michihisa, Tuan Anh Dao

In this article, we study semi-linear $σ$ -evolution equations with double damping including frictional and visco-elastic damping for any $σ \geq 1$ . We are interested in investigatin…

math.AP2019★ 1 cited

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…