20 citations · 31 across the 20 of their papers we have counts for
3 papers · 1 filter
On a Mean Field Optimal Control Problem
Jose A. Carrillo, Edgard A. Pimentel, Vardan K. Voskanyan
In this paper we consider a mean field optimal control problem with an aggregation-diffusion constraint, where agents interact through a potential, in the presence of a Gaussian no…
Improved regularity for the porous medium equation along zero level-sets
Edgard A Pimentel, Makson S. Santos
In the present work we establish sharp regularity estimates for the solutions of the porous medium equation, along their zero level-sets. We work under a proximity regime on the ex…
Geometric regularity for elliptic equations in double-divergence form
Raimundo Leitão, Edgard A. Pimentel, Makson S. Santos
In this paper, we examine the regularity of the solutions to the double-divergence equation. We establish improved Hölder continuity as solutions approach their zero level-sets. In…