2 citations · 4 across the 4 of their papers we have counts for
6 papers
Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term
Yoshiyuki Kagei, Hiroshi Takeda
The Cauchy problem for a nonlinear elastic wave equations with viscoelastic damping terms is considered on the 3 dimensional whole space. Decay and smoothing properties of the solu…
Global existence results for semi-linear structurally damped wave equations with nonlinear convection
Tuan Anh Dao, Hiroshi Takeda
In this paper, we consider the Cauchy problem for semi-linear wave equations with structural damping term , where is a constant. As being mentioned in [8,10], th…
Asymptotic profile of solutions for strongly damped Klein-Gordon equations
Ryo Ikehata
We consider the Cauchy problem in the whole space for strongly damped Klein-Gordon equations. We derive asymptotic profles of solutions with weighted initial data by a simple metho…
Uniform energy decay for wave equations with unbounded damping coefficients
Ryo Ikehata, Hiroshi Takeda
We consider the Cauchy problem for wave equations with unbounded damping coefficients in the whole space. For a general class of unbounded damping coefficients, we derive uniform t…
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 ,…
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…