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math.AP2020★ 1 cited
The move from Fujita to Kato type exponent for a class of semilinear evolution equations with time-dependent damping
Marcelo Rempel Ebert, Jorge Marques, Wanderley Nunes do Nascimento
In this paper, we derive suitable optimal decay estimates, , for the solutions to the -evolution equation, , with scale-invariant…
math.AP2017★ 4 cited
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…
math.AP2017
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),…