セミナー

発表言語 英語
開催日 2013年04月05日 13時30分
終了日 2013年04月05日 15時00分
開催場所京都大学理学部3号館 (数学教室) 552号室
セミナー名関西確率論セミナー
タイトル Two-sided bounds for the Dirichlet heat kernel on inner uniform domains 
分野 解析
講演者名Janna Lierl
講演者所属Hausdorff Center in Bonn
概要I will present sharp two-sided bounds for the heat kernel in domains
with Dirichlet boundary conditions. The domain is assumed to satisfy an
inner uniformity condition. This includes any convex domain, the
complement of any convex domain in Euclidean space, and the interior of
the Koch snowflake.

The heat kernel estimates hold in the abstract setting of metric measure
spaces equipped with a (possibly non-symmetric) Dirichlet form. The
underlying space is assumed to satisfy a Poincare inequality and volume
doubling.

The results apply, for example, to the Dirichlet heat kernel associated
with a divergence form operator with bounded measurable coefficients and
symmetric, uniformly elliptic second order part.

This is joint work with Laurent Saloff-Coste.
備考時間がいつもと違います
リンクhttps://www.math.kyoto-u.ac.jp/~kyano/ks/index_j.html