3 citations · 7 across the 16 of their papers we have counts for
Showing 2019Show all
2 papers · 1 filter
math.AP2019
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…
math.AP2019
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…