Mihalis Mourgoglou

Available identifiers

zbMath Open mourgoglou.mihalisMaRDI QIDQ311132

List of research outcomes

Publication	Date of Publication	Type
Regularity theory and Green's function for elliptic equations with lower order terms in unbounded domains	2023-11-14	Paper
Uniform Rectifiability, Elliptic Measure, Square Functions, and ε-Approximability Via an ACF Monotonicity Formula	2023-07-12	Paper
Quantitative differentiability on uniformly rectifiable sets and applications to Sobolev trace theorems	2023-06-22	Paper
Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains	2023-06-09	Paper
\(L^2\)-boundedness of gradients of single layer potentials for elliptic operators with coefficients of Dini mean oscillation-type	2023-04-24	Paper
On the density problem in the parabolic space	2022-11-08	Paper
Solvability of the Poisson-Dirichlet problem with interior data in $L^{p'}$-Carleson spaces and its applications to the $L^{p}$-regularity problem	2022-07-21	Paper
$L^2$-boundedness of gradients of single layer potentials for elliptic operators with coefficients of Dini mean oscillation-type	2021-12-14	Paper
The regularity problem for the Laplace equation in rough domains	2021-10-05	Paper
A new approach to non-homogeneous local \(Tb\) theorems	2021-08-17	Paper
Blow-ups of caloric measure in time varying domains and applications to two-phase problems	2021-08-06	Paper
Approximate tangents, harmonic measure, and domains with rectifiable boundaries	2021-07-28	Paper
Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem	2020-11-02	Paper
A two-phase free boundary problem for harmonic measure and uniform rectifiability	2020-06-03	Paper
Harmonic measure and Riesz transform in uniform and general domains	2020-01-07	Paper
Tangent measures of elliptic measure and applications	2019-12-13	Paper
On a two-phase problem for harmonic measure in general domains	2019-10-16	Paper
On harmonic measure and rectifiability in uniform domains	2019-06-14	Paper
Failure of \(L^2\) boundedness of gradients of single layer potentials for measures with zero low density	2019-05-07	Paper
Representation and uniqueness for boundary value elliptic problems via first order systems	2019-03-21	Paper
Absolute continuity of harmonic measure for domains with lower regular boundaries	2019-02-13	Paper
Singular Sets for Harmonic Measure on Locally Flat Domains with Locally Finite Surface Measure	2019-01-22	Paper
Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions	2018-06-28	Paper
Non-homogeneous square functions on general sets: suppression and big pieces methods	2018-05-08	Paper
Tangent measures and absolute continuity of harmonic measure	2018-04-05	Paper
Harmonic measure and quantitative connectivity: geometric characterization of the $L^p$ solvability of the Dirichlet problem. Part II	2018-03-21	Paper
Improved Cotlar's inequality in the context of local \(Tb\) theorems	2018-02-28	Paper
Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure	2018-02-07	Paper
Mutual Absolute Continuity of Interior and Exterior Harmonic Measure Implies Rectifiability	2017-11-02	Paper
On angles determined by fractal subsets of the Euclidean space	2017-05-24	Paper
The one-phase problem for harmonic measure in two-sided NTA domains	2017-05-02	Paper
Rectifiability of harmonic measure	2016-09-29	Paper
Boundedness of non-homogeneous square functions and \(L^q\) type testing conditions with \(q\in(1,2)\)	2016-08-05	Paper
Note about square function estimates and uniformly rectifiable measures	2016-05-27	Paper
A characterization of 1-rectifiable doubling measures with connected supports	2016-02-19	Paper
Rectifiability of harmonic measure in domains with porous boundaries	2015-05-22	Paper
Uniform domains with rectifiable boundaries and harmonic measure	2015-05-22	Paper
Square functions with general measures II	2015-01-21	Paper
On volumes determined by subsets of Euclidean space	2015-01-19	Paper
On \(L^{2}\) solvability of BVPs for elliptic systems	2015-01-09	Paper
Layer potentials and boundary value problems for elliptic equations with complex \(L^\infty\) coefficients satisfying the small Carleson measure norm condition	2014-12-12	Paper
A local \(Tb\) theorem for square functions in domains with Ahlfors-David regular boundaries	2014-11-18	Paper
Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems	2014-09-30	Paper
Square functions with general measures	2014-09-17	Paper
On sets of directions determined by subsets of \(\mathbb R^d\)	2013-07-11	Paper
On the Mattila-Sjölin theorem for distance sets	2012-12-08	Paper
On angles determined by fractal subsets of the Euclidean space via Sobolev bounds for bi-linear operators	2011-10-31	Paper

Research outcomes over time

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