Besov spaces on open sets with the Dirichlet boundary condition and their application to the fractional Laplacian

Date
2018/04/13 Fri 15:30 - 17:30
Room
3号館251号室
Speaker
Tsukasa Iwabuchi
Affiliation
Tohoku University
Abstract

In this talk, we introduce the Besov spaces associated with the Dirichlet Laplacian on an arbitrary open set. Basic properties such as the completeness, the embedding theorem, e.t.c. are shown. As an application, we will study the semigroup generated by the Dirichlet Laplacian of fractional order.