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math.AP2021
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…
math.AP2021
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…