Department of Mathematics

Analysis and PDE

  •  Alexander Volberg, MSU
  •  Harmonic measure and Geometric Measure Theory: no regularity two phase fee boundary problem
  •  10/17/2016
  •  4:02 PM - 4:52 PM
  •  C517 Wells Hall

Harmonic measure and Geometric Measure Theory: no regularity two phase fee boundary problem We will show how from absolute continuity of outer and inner harmonic measures one can deduce the rectifiability of the common boundary. This solves the problem of Bishop from the early 90's. This requires the combination of the technique from the GMT and the new technique of non-homogeneous harmonic analysis elaborated by Nazarov-Treil-Volberg and Tolsa and his school. This is a joint work with J. Azzam, M. Mourgoglou and X. Tolsa.

 

Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science