33 citations · 74 across the 12 of their papers we have counts for
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math.AP2016★ 2 cited
Asymptotic profiles of solutions for structural damped wave equations
Ryo Ikehata, Hiroshi Takeda
In this paper, we obtain several asymptotic profiles of solutions to the Cauchy problem for structurally damped wave equations ,…
math.AP2016★ 2 cited
Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms
Ryo Ikehata, Hiroshi Takeda
In this paper, we study the Cauchy problem for a nonlinear wave equation with frictional and viscoelastic damping terms. Our aim is to obtain the threshold, to classify the global…
math.AP2016★ 10 cited
Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation
Tatsuki Kawakami, Hiroshi Takeda
We study the Cauchy problem for a nonlinear damped wave equation. Under suitable assumptions for the nonlinearity and the initial data, we obtain the global solution which satisfie…