18 citations · 31 across the 8 of their papers we have counts for
8 papers · 1 filter
estimates for solutions to the plate equation with mass term
Alexandre Arias Junior, Halit Sevki Aslan, Antonio Lagioia +1
In this paper, we study the Cauchy problem for the linear plate equation with mass term and its applications to semilinear models. For the linear problem we obtain estima…
Sharp Lp-Lq estimates for evolution equations with damped oscillations
Marcello D'Abbicco, Marcelo Rempel Ebert
In this paper we derive sharp estimates, (including endpoint estimates as and ) for dissipative wave-type equations, un…
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…
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…
The critical exponent for nonlinear damped -evolution equations
Marcello D'Abbicco, Marcelo Rempel Ebert
In this paper, we derive suitable optimal decay estimates, , for the solutions to the -evolution equation, , with structural damping and…
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…