1 citations · 1 across the 3 of their papers we have counts for
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Green functions and smooth distances
Joseph Feneuil, Linhan Li, Svitlana Mayboroda
In the present paper, we show that for an optimal class of elliptic operators with non-smooth coefficients on a 1-sided Chord-Arc domain, the boundary of the domain is uniformly re…
Green function estimates on complements of low-dimensional uniformly rectifiable sets
Guy David, Joseph Feneuil, Svitlana Mayboroda
It has been recently established by the first and third author that on uniformly rectifiable sets the Green function is almost affine in the weak sense, and moreover, in some scena…
Dirichlet problem in domains with lower dimensional boundaries
Joseph Feneuil, Svitlana Mayboroda, Zihui Zhao
The present paper pioneers the study of the Dirichlet problem with boundary data for second order operators with complex coefficients in domains with lower dimensional bounda…
A new elliptic measure on lower dimensional sets
Guy David, Joseph Feneuil, Svitlana Mayboroda
The recent years have seen a beautiful breakthrough culminating in a comprehensive understanding of certain scale-invariant properties of dimensional sets across analysis, ge…
Algebra properties for Besov spaces on unimodular Lie groups
Joseph Feneuil
We consider the Besov space on a unimodular Lie group equipped with a sublaplacian . Using estimates of the heat kernel associated with , we give several c…