Investigador Titular "A" |

Elliptic and parabolic partial differential equations. Integro-differential equations. Free boundary problems. Calculus of variations.

- with Ovidiu Savin
**Boundary Regularity for the Free Boundary in the One-phase Problem**. (Contemporary Mathematics - Proceedings of the Special Session). - with Nestor Guillén
**From the free boundary condition for Hele-Shaw to a fractional parabolic equation**. - 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). **Regularity for fully non linear equations with non local drift**.- 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).