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math.AP2026
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…
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_…