Centre for Mathematics, University of Coimbra

<Reference List>
Type:	Preprint
National /International:	International
Title:	A free boundary problem with fractional diffusion
Publication Date:	2019-11-29
Authors:	- Diego Marcon - Rafayel Teymurazyan
Abstract:	We study a free boundary optimization problem for the fractional Laplacian with a volume constraint and a lower bound. We prove existence and optimal Hölder regularity of solutions, as well as derive geometric properties of solutions and of the corresponding exterior free boundary.
Institution:	DMUC 19-37
Online version:	http://www.mat.uc.pt...prints/eng_2019.html
Download:	Not available