Publicaciones (39) Publicaciones de Mihalis Mourgoglou

2025

  1. Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains

    Journal of Functional Analysis, Vol. 288, Núm. 1

2024

  1. The regularity problem for the laplace equation in rough domains

    Duke Mathematical Journal, Vol. 173, Núm. 9, pp. 1731-1837

2023

  1. L2 -Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type

    Archive for Rational Mechanics and Analysis, Vol. 247, Núm. 3

  2. Publisher Correction to: L2 -Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type (Archive for Rational Mechanics and Analysis, (2023), 247, 3, (38), 10.1007/s00205-023-01852-1)

    Archive for Rational Mechanics and Analysis

  3. Regularity theory and Green’s function for elliptic equations with lower order terms in unbounded domains

    Calculus of Variations and Partial Differential Equations, Vol. 62, Núm. 9

  4. Uniform Rectifiability, Elliptic Measure, Square Functions, and ϵ-Approximability Via an ACF Monotonicity Formula

    International Mathematics Research Notices, Vol. 2023, Núm. 13, pp. 10837-10941

2021

  1. A new approach to non-homogeneous local Tb theorems

    Journal d'Analyse Mathematique, Vol. 143, Núm. 1, pp. 95-121

  2. Approximate tangents, harmonic measure, and domains with rectifiable boundaries

    Proceedings of the American Mathematical Society, Vol. 149, Núm. 9, pp. 3739-3749

  3. Blow-ups of caloric measure in time varying domains and applications to two-phase problems

    Journal des Mathematiques Pures et Appliquees, Vol. 152, pp. 1-68

  4. Harmonic measure and Riesz transform in uniform and general domains

    Journal fur die Reine und Angewandte Mathematik, Vol. 2020, Núm. 758, pp. 183-221

2020

  1. A two-phase free boundary problem for harmonic measure and uniform rectifiability

    Transactions of the American Mathematical Society, Vol. 373, Núm. 6, pp. 4359-4388

  2. Harmonic measure and quantitative connectivity: geometric characterization of the Lp -solvability of the Dirichlet problem

    Inventiones Mathematicae, Vol. 222, Núm. 3, pp. 881-993

2019

  1. Failure of L 2 boundedness of gradients of single layer potentials for measures with zero low density

    Mathematische Annalen, Vol. 373, Núm. 1-2, pp. 253-285

  2. Absolute continuity of harmonic measure for domains with lower regular boundaries

    Advances in Mathematics, Vol. 345, pp. 1206-1252

  3. On Harmonic Measure and Rectifiability in Uniform Domains

    Journal of Geometric Analysis, Vol. 29, Núm. 2, pp. 1193-1205

  4. On a two-phase problem for harmonic measure in general domains

    American Journal of Mathematics, Vol. 141, Núm. 5, pp. 1259-1279

  5. Representation and uniqueness for boundary value elliptic problems via first order systems

    Revista matemática iberoamericana, Vol. 35, Núm. 1, pp. 241-315

  6. Tangent measures of elliptic measure and applications

    Analysis and PDE, Vol. 12, Núm. 8, pp. 1891-1941

2018

  1. Improved Cotlar's inequality in the context of local Tb theorems

    Journal of Functional Analysis, Vol. 274, Núm. 5, pp. 1255-1275

  2. Tangent measures and absolute continuity of harmonic measure

    Revista matemática iberoamericana, Vol. 34, Núm. 1, pp. 305-330