RT Journal Article
T1 Linear non-local diffusion problems in metric measure spaces
A1 Rodríguez Bernal, Aníbal
A1 Sastre Gómez, S.
AB The aim of this paper is to provide a comprehensive study of some linear non-local diffusion problems in metric measure spaces. These include, for example, open subsets in ℝN, graphs, manifolds, multi-structures and some fractal sets. For this, we study regularity, compactness, positivity and the spectrum of the stationary non-local operator. We then study the solutions of linear evolution non-local diffusion problems, with emphasis on similarities and differences with the standard heat equation in smooth domains. In particular, we prove weak and strong maximum principles and describe the asymptotic behaviour using spectral methods.
PB Cambridge University Press
SN 03082105
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24627
UL https://hdl.handle.net/20.500.14352/24627
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO UCM-BSCH
DS Docta Complutense
RD 4 may 2024