18 citations · 31 across the 8 of their papers we have counts for
3 papers · 2 filters
A classification for wave models with time-dependent mass and speed of propagation
Marcelo Rempel Ebert, Wanderley Nunes do Nascimento
In this paper, we study the long time behavior of energy solutions for a class of wave equation with time-dependent mass and speed of pro\-pagation. We introduce a classification o…
The critical exponent(s) for the semilinear fractional diffusive equation
Marcello D'Abbicco, Marcelo Rempel Ebert, Tiago Henrique Picon
In this paper we show that there exist two different critical exponents for global small data solutions to the semilinear fractional diffusive equation with Caputo fractional deriv…
Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity
Marcelo Rempel Ebert, Michael Reissig
In this paper we study the Cauchy problem for semi-linear de Sitter models with power non-linearity. The model of interest is \[ ϕ_{tt} - e^{-2t} Δϕ+ nϕ_t+m^2ϕ=|ϕ|^p,\quad (ϕ(0,x),…