Title	On $s$-harmonic functions on cones
Creator	Terracini, Susanna
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-05-22T11:53
Description	We deal with functions satisfying \begin{equation}\label{P_C} \begin{cases} (-\Delta)^s u_s=0 & \mathrm{in}\quad C, \\ u_s=0 & \mathrm{in}\quad \mathbb{R}^n\setminus C, \end{cases} \end{equation} where $s\in(0,1)$ and $C$ is a given cone on $\mathbb R^n$ with vertex at zero. We are mainly concerned with the case when $s$ approaches $1$. These functions are involved in the study of the nodal regions in the case of optimal partitions and other free boundary problems and play a crucial role in the extension of the Alt-Caffarelli-Friedman monotonicity formula to the case of fractional diffusions. This is a joint work with Giorgio Tortone and Stefano Vita.
Extent	47 minutes
Subject	Mathematics; Partial differential equations; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universitá di Torino
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-11-19
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0357991
URI	http://hdl.handle.net/2429/63635
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos