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math.AP2026
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_…
math.AP2025
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…
math.AP2024
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…