Murat Akman
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AMS special session · Conference archive

Regularity of PDEs on Rough Domains

Spring Eastern Sectional Meeting
21–22 April 2018 · Northeastern University, Boston, Massachusetts

Official AMS programme ↗

The session

Analysis at rough boundaries

This session brought together work on regularity of elliptic and parabolic partial differential equations on rough domains: solvability of second- and higher-order elliptic equations and systems in non-smooth media, free boundary problems, harmonic and nonlinear elliptic measures, and analysis on uniformly rectifiable sets.

It aimed to connect researchers in PDEs, harmonic analysis and geometric measure theory, with a particular focus on graduate students and early-career mathematicians.

Organisers: Murat Akman and Max Engelstein.

Original meeting details

The abstract submission deadline was 20 February 2018. Meeting number: 1139; session: SS 14A — Regularity of PDEs on Rough Domains. AMS abstract submission system.

Session organiser contacts at the time: murat.akman “at” uconn.edu and maxe “at” mit.edu.

Programme

Speakers & slides

  • Matthew Badger

    University of Connecticut

    Two-phase free boundary problem for harmonic measure with Hölder data.

    Talk slides ↗

  • Ariel Barton

    University of Arkansas

    Extrapolation of well posedness for higher order elliptic systems with rough coefficients.

  • Bruno G. Poggi Cevallos

    University of Minnesota

    Exponential decay estimates for fundamental solutions of Schrödinger-type operators.

    Talk slides ↗

  • Donatella Danielli

    Purdue University

    Regularity Results for a Penalized Boundary Obstacle Problem.

    Talk slides ↗

  • Blair Davey

    City College of New York

    How to obtain parabolic theorems from their elliptic counterparts.

    Board talk · Related article ↗

  • Joseph Feneuil

    University of Minnesota

    The Dirichlet problem for sets with higher co-dimensional boundaries.

  • Jose Luis Luna Garcia

    University of Missouri

    Solvability of Elliptic Equations with Lower Order Terms.

  • Mariana Smit Vega Garcia

    University of Washington

    Higher regularity of the free boundary in the parabolic Signorini problem.

    Talk slides ↗

  • Silvia Ghinassi

    Stony Brook University

    C1,α parametrization and rectifiability.

    Talk slides ↗

  • Steve Hofmann

    University of Missouri

    Quantitative Rectifiability and absolute continuity of harmonic measure.

    Talk slides ↗

  • John Lewis

    University of Kentucky

    Note on an Eigenvalue Problem.

  • Sean McCurdy

    University of Washington

    A Tale of Two Approaches.

  • Katie Ott

    Bates College

    The mixed boundary value problem in Lipschitz domains.

    Talk slides ↗

  • Luca Spolaor

    MIT · Talk cancelled

    Logarithmic Epiperimetric inequality and the regularity of the free-boundary.

  • Andy Vogel

    Syracuse University

    The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity.

    Talk slides ↗

  • Bobby Wilson

    MIT

    Arbitrarily Slowly Decaying Favard Length.

  • Zihui Zhao

    University of Washington

    Harmonic measure for sets of higher co-dimensions and BMO solvability.

    Talk slides ↗

  • Xiaodan Zhou

    WPI

    Strong Comparison Principle for p-harmonic functions in Carnot-Caratheodory spaces.

    Talk slides ↗
Participants at the 2018 Regularity of PDEs on Rough Domains session
Session photograph · Credit: Michael Albanese

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