月曜解析セミナー: Potential analysis on nonsmooth domains

開催日時
2011年   5月 30日 14時 45分 ~ 2011年   5月 30日 16時 15分
場所
北海道大学理学部3号館210
講演者
相川 弘明(北海道大学理学研究院)
 
Martin proved that every domain with Green function has the
Martin boundary which represents all positive harmonic
functions in the domain.  The identification of the Martin
boundary is a very interesting question and attracts a lot
of attentions of numbers of mathematicians.

This talk is devoted to the Martin boundaries of nonsmooth
Euclidean domains and related subjects in potential theory.
Various interior and exterior conditions on domains are
presented with backgrounds.  Observe that the boundary
Harnack principle and the Carleson estimate play important
roles for the identification of the Martin boundary.
If time allows, technical details such as Domar's argument
are touched.

関連項目

研究集会・セミナー・集中講義の一覧へ