Publications

6.- The parabolic Dirichlet problem with continuous and Hölder boundary data, and rough coefficients,
with Cody Hutcheson, and Joseph Kasel. Preprint (41 pp).

5.- A variable coefficient free boundary problem for L^p solvability of parabolic Dirichlet problem in graph domains,

with Simon Bortz, Sandra Ferris, and Steve Hofmann. Preprint (54 pp). Some slides.

4.- Positive solutions to general semilinear overdetermined boundary problems,

with Alberto Enciso and Xavier Ros-Oton. Preprint (45 pp).  Some slides.

3.- Elliptic operators in rough sets, and the Dirichlet problem with boundary data in Hölder spaces.

with Mingming Cao, José María Martell, Cruz Prisuelos-Arribas and Zihui Zhao. J. Funct. Anal. 288 (2025), 110801 (68 pp). Some slides.

2.- On the Kato problem for elliptic operators in non-divergence form,

with Luis Escauriaza and Steve Hofmann. Vietnam J. Math 52 (2024), 1067--1096 (29 pp), special volume in honor to Carlos Kenig.

1.- Carleson measure estimates, corona decompositions, and perturbation of elliptic operators without connectivity,

with Mingming Cao and José María Martell. Math. Ann. 390 (2024), 95--156 (61 pp). Some slides.