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math.AP2020★ 5 cited
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…
math.AP2020
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 ,…