Mariana Smit Vega Garcia

activity

20162023

most citedHigher regularity of the free boundary in the parabolic Signorini problem

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2023

Two-phase almost minimizers for a fractional free boundary problem

Mark Allen, Mariana Smit Vega Garcia

In this paper, we study almost minimizers to a fractional Alt-Caffarelli-Friedman type functional. Our main results concern the optimal $C^{0, s}$ regularity of almost minimizers as…

math.AP2022

Branch Points for (Almost-)Minimizers of Two-Phase Free Boundary Problems

Guy David, Max Engelstein, Mariana Smit Vega Garcia +1

We study the existence and structure of branch points in two-phase free boundary problems. More precisely, we construct a family of minimizers to an Alt- Caffarelli-Friedman type f…

math.AP2016★ 1 cited

Higher regularity of the free boundary in the parabolic Signorini problem

Agnid Banerjee, Mariana Smit Vega Garcia, Andrew K. Zeller

We show that the quotient of two caloric functions which vanish on a portion of an $H^{k + α}$ regular slit is $H^{k + α}$ at the slit, for $k \geq 2$ . In the case $k = 1$ , we show tha…