27 citations · 42 across the 8 of their papers we have counts for
6 papers · 1 filter
Uniform rectifiability and elliptic operators satisfying a Carleson measure condition
Steve Hofmann, José María Martell, Svitlana Mayboroda +2
The present paper establishes the correspondence between the properties of the solutions of a class of PDEs and the geometry of sets in Euclidean space. We settle the question of w…
Elliptic measures and Square function estimates on 1-sided chord-arc domains
Mingming Cao, José María Martell, Andrea Olivo
In nice environments, such as Lipschitz or chord-arc domains, it is well-known that the solvability of the Dirichlet problem for an elliptic operator in , for some finite ,…
Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Part II: The large constant case
Steve Hofmann, José María Martell, Svitlana Mayboroda +2
The present paper, along with its companion [Hofmann, Martell, Mayboroda, Toro, Zhao, arXiv:1710.06157], establishes the correspondence between the properties of the solutions of a…
Fatou-Type Theorems and Boundary Value Problems for Elliptic Systems in the Upper Half-Space
José María Martell, Dorina Mitrea, Irina Mitrea +1
We survey recent progress in a program aimed at proving general Fatou-type results and establishing the well-posedness of a variety of boundary value problems in the upper half-spa…
The generalized Hölder and Morrey-Campanato Dirichlet problems for elliptic systems in the upper-half space
Juan José Marín, José María Martell, Marius Mitrea
We prove well-posedness results for the Dirichlet problem in for homogeneous, second order, constant complex coefficient elliptic systems with boundary data in…
Absolute continuity between the surface measure and harmonic measure implies rectifiability
Steve Hofmann, José Maria Martell, Svitlana Mayboroda +2
In the present paper we prove that for any open connected set , , and any with absolute contin…