90 citations · 203 across the 19 of their papers we have counts for
4 papers · 2 filters
The influence of oscillations on energy estimates for damped wave models with time-dependent propagation speed and dissipation
Halit Sevki Aslan, Michael Reissig
The aim of this paper is to derive higher order energy estimates for solutions to the Cauchy problem for damped wave models with time-dependent propagation speed and dissipation. T…
estimates for oscillating integrals and their applications to semi-linear models with -evolution like structural damping
Tuan Anh Dao, Michael Reissig
The present paper is a continuation of our recent paper \cite{DaoReissig}. We will consider the following Cauchy problems for semi-linear structurally damped -evolution models:…
An application of estimates for oscillating integrals to parabolic like semi-linear structurally damped -evolution models
Tuan Anh Dao, Michael Reissig
We study the following Cauchy problems for semi-linear structurally damped -evolution models: \begin{equation*} u_{tt}+ (-Δ)^σu+ μ(-Δ)^δu_t = f(u,u_t),\, u(0,x)= u_0(x),\, u_t(0…
Weakly coupled systems of semi-linear elastic waves with different damping mechanisms in 3D
Wenhui Chen, Michael Reissig
We consider the following Cauchy problem for weakly coupled systems of semi-linear damped elastic waves with a power source non-linearity in three-dimensions: \begin{equation*} U_{…