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math.AP2022
The Regularity problem in domains with lower dimensional boundaries
Zanbing Dai, Joseph Feneuil, Svitlana Mayboroda
In the present paper we establish the solvability of the Regularity boundary value problem in domains with (flat and Lipschitz) lower dimensional boundaries for operators whose coe…
math.AP2022
Carleson Perturbations for the Regularity Problem
Zanbing Dai, Joseph Feneuil, Svitlana Mayboroda
We prove that the solvability of the regularity problem in is stable under Carleson perturbations. If the perturbation is small, then the solvability is preserved…