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.AP2019
The influence of data regularity in the critical exponent for a class of semilinear evolutions equations
Marcelo R. Ebert, Cleverson R. Da Luz, MaÍra F. G. Palma
In this paper we find the critical exponent for the global existence (in time) of small data solutions to the Cauchy problem for the semilinear dissipative evolution equations % \[…