1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2022
Structurally damped evolution equations with power-law memory
Nelson Faustino, Jorge Marques
We consider an integro-differential counterpart of the evolution equation of the type \[ \partial_t^2 u(t,x)+μ(-Δ)^{\fracσ{2}} \partial_t u(t,x)+(-Δ)^σu(t,x)=f(t,x), \] with $σ…
math.AP2021
Global existence of solutions for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime
Marcelo Rempel Ebert, Jorge Marques
We consider the nonlinear massless wave equation belonging to some family of the Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime. We prove the global in time small data soluti…
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…