7 citations · 14 across the 5 of their papers we have counts for
11 papers
The Dirichlet problem as the boundary of the Poisson problem: A sharp approximation result
Mihalis Mourgoglou, Bruno Poggi
On a bounded domain , , satisfying the corkscrew condition and with Ahlfors regular boundary, we characterize the dual space to the space ${\bf N}_…
Smooth extensions of Sobolev boundary data in corkscrew domains with uniformly rectifiable boundaries
Jonas Azzam, Mihalis Mourgoglou, Michele Villa
Given a corkscrew domain with uniformly rectifiable boundary, we construct a surjective trace map onto the Hajlasz-Sobolev space on the boundary from the space of functions o…
Layer potentials for elliptic operators with DMO-type coefficients: big pieces theorem, quantitative rectifiability, and free boundary problems
Andrea Merlo, Mihalis Mourgoglou, Carmelo Puliatti
For , we consider the operator , where is a uniformly elliptic matrix with variable coefficients, a Radon mea…
On the density problem in the parabolic space
Andrea Merlo, Mihalis Mourgoglou, Carmelo Puliatti
In this work we extend many classical results concerning the relationship between densities, tangents and rectifiability to the parabolic spaces, namely equipped…
Blow-ups of caloric measure in time varying domains and applications to two-phase problems
Mihalis Mourgoglou, Carmelo Puliatti
We develop a method to study the structure of the common part of the boundaries of disjoint and possibly non-complementary time-varying domains in , , a…
Harmonic measure and quantitative connectivity: geometric characterization of the -solvability of the Dirichlet problem
Jonas Azzam, Steve Hofmann, José María Martell +2
It is well-known that quantitative, scale invariant absolute continuity (more precisely, the weak- property) of harmonic measure with respect to surface measure, on the b…