1 citations · 1 across the 7 of their papers we have counts for
7 papers
Sharp estimates for wave equations with non-integrable speeds
Halit Sevki Aslan, Wenhui Chen
We study the large-time behavior of the displacement for wave equations with non-integrable speeds and zero initial displacement. For initial velocities in , we derive…
Dispersive estimates for wave-type equations with time-dependent damping
Halit Sevki Aslan, Marcelo Rempel Ebert
In this paper, we study the Cauchy problem for a class of semilinear evolution equations with scale-invariant time-dependent dissipation \begin{equation*} \begin{cases} u_{tt} + L_…
Evolution models with time-dependent coefficients in friction and viscoelastic damping terms
Halit Sevki Aslan, Michael Reissig
We study the following Cauchy problem for the linear wave equation with both time-dependent friction and time-dependent viscoelastic damping: \begin{equation} \label{EqAbstract}\ta…
estimates for solutions to the plate equation with mass term
Alexandre Arias Junior, Halit Sevki Aslan, Antonio Lagioia +1
In this paper, we study the Cauchy problem for the linear plate equation with mass term and its applications to semilinear models. For the linear problem we obtain estima…
Visco-elastic damped wave models with time-dependent coefficient
Halit Sevki Aslan, Michael Reissig
In this paper, we study the following Cauchy problem for linear visco-elastic damped wave models with a general time-dependent coefficient : \begin{equation} \label{EqAbstr…
On the Cauchy problem for semilinear thermoelastic plate systems in the framework
Halit Sevki Aslan, Wenhui Chen
We mainly consider semilinear thermoelastic plate systems with general power nonlinearities in the whole space . By applying the Fourier analysis, some sharp $(L^q\ca…
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…