141 citations · 790 across the 75 of their papers we have counts for
6 papers · 2 filters
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…
Nontangential estimates on layer potentials and the Neumann problem for higher order elliptic equations
Ariel Barton, Steve Hofmann, Svitlana Mayboroda
We solve the Neumann problem, with nontangential estimates, for higher order divergence form elliptic operators with variable -independent coefficients. Our results are accompan…
Square functions, non-tangential limits and harmonic measure in co-dimensions larger than one
Guy David, Max Engelstein, Svitlana Mayboroda
In this paper, we characterize the rectifiability (both uniform and not) of an Ahlfors regular set, E, of arbitrary co-dimension by the behavior of a regularized distance function…
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…
Square function estimates, BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets
Svitlana Mayboroda, Zihui Zhao
In the recent work [DFM1, DFM2] G. David, J. Feneuil, and the first author have launched a program devoted to an analogue of harmonic measure for lower-dimensional sets. A relevant…
Exponential decay estimates for fundamental solutions of Schrödinger-type operators
Svitlana Mayboroda, Bruno Poggi
In the present paper we establish sharp exponential decay estimates for operator and integral kernels of the (not necessarily self-adjoint) operators $L=-(\nabla-i\mathbf{a})^TA(\n…