3 papers
math.AP2026
The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces
Angelica Pia Di Feola, Vittorio Pane
We study the initial-boundary value problem for the Navier-Stokes equations in the half-space with initial data belonging to a suitable weighted Lebesgue space. More precisely, we…
math.AP2025
Weighted estimates for the Stokes semigroup in the half-space
Angelica Pia Di Feola, Vittorio Pane
We investigate the initial-boundary value problem for the Stokes system in the half-space, within the framework of weighted Lebesgue spaces. Introducing a new weight function defin…
math.AP2024
The Navier-Stokes Cauchy problem in a class of weighted function spaces
Paolo Maremonti, Vittorio Pane
We consider the Navier-Stokes Cauchy problem with an initial datum in a weighted Lebesgue space. The weight is a radial function increasing at infinity. Our study partially follows…