Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Uniform rectifiability, bounded harmonic functions, and elliptic PDE's

Uniform rectifiability, bounded harmonic functions, and elliptic PDE's

Recent Developments in Harmonic Analysis May 15, 2017 - May 19, 2017

May 16, 2017 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Xavier Tolsa (Autonomous University of Barcelona)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • harmonic analysis

  • uniform rectifiability

  • bounded harmonic functions

  • elliptic PDE

  • harmonic measure

  • area function

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Tolsa

Abstract

In this talk I will describe a recent characterization of uniform rectifiability in terms of a variant of the so called area function (or g function) for harmonic functions and an analogous result involving solutions of elliptic PDE's. As a byproduct, we obtain a new characterization of uniform rectifiability in terms of harmonic measure or elliptic measure. Some of these results are joint work with Azzam, Garnett and Mourgoglou

Supplements
28686?type=thumb Tolsa Notes 2.9 MB application/pdf Download
Video/Audio Files

Tolsa

H.264 Video 5-Tolsa.mp4 326 MB video/mp4 rtsp://videos.msri.org/data/000/028/442/original/5-Tolsa.mp4 Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath Videos page.