### Research articles: (arXiv, MathSciNet)

#### Publications

- with Makson Santos
**Hölder regularity for non-variational porous media type equations**. (J. of Differential Equations). - with Edgard Pimentel
**Non-convex Hamilton-Jacobi equations with gradient constraints**. (Nonlinear Analysis - Special Section on Recent developments in Free Boundary Problems) - with Nestor Guillen and Russel Schwab
**Some free boundary problems recast as nonlocal parabolic equations**. (Nonlinear Analysis). - with Ovidiu Savin
**Boundary Regularity for the Free Boundary in the One-phase Problem**. (Contemporary Mathematics - Proceedings of the Special Session). - with Dennis Kriventsov
**Further Time Regularity for Non-Local, Fully Non-Linear Parabolic Equations**. (CPAM). - with Dennis Kriventsov
**Further time regularity for fully non-linear parabolic equations**. (Math. Research Letters). - with Gonzalo Dávila
**\(C^{2,\alpha}\) estimates for concave, non-local parabolic equations with critical drift**. (J. of Integral Equations and Applications). - with Gonzalo Dávila
**Hölder estimates for non-local parabolic equations with critical drift**. (J. of Differential Equations). - with François Baccelli and Sergey Foss
**Shape Theorems for Poisson Hail on a Bivariate Ground**. (Advances in Applied Probability). - with Mark Allen
**Free Boundaries on Two-Dimensional Cones**. (J. of Geometric Analysis). - with Gonzalo Dávila
**Regularity for solutions of nonlocal parabolic equations II**. (J. of Differential Equations). - with Gonzalo Dávila
**Regularity for solutions of non local parabolic equations**. (Calculus of Variations and Partial Differential Equations). - with Gonzalo Dávila
**Regularity for solutions of nonlocal, non symmetric equations**. (Ann. Inst. H. Poincaré Anal. Non Linéaire).

#### Expository

**El problema del barrendero**. (to appear in Revista Mixba'al)

See also the following implementation by José Joaquín Zubieta Rico and Karlo Jair Guevara Díaz (students at DEMAT, Universidad de Guanajuato):

https://suavesito-olimpiada.github.io/SweeperProblem/