2 papers
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.AP2026
Dispersive-Dissipative estimates for Boussinesq and other generalized wave equations
Marcello D'Abbicco, Marcelo Rempel Ebert, Antonio Lagioia
We derive dispersive-dissipative estimates for multipliers associated to a general class of wave-type equations, in particular for the viscous Boussinesq equation. The dispersion i…