Affiliation:
1. Departamento de Análisis Matemático , Universitat de València , Dr. Moliner 50, 46100 Burjassot , Spain
Abstract
Abstract
In this paper we study the
(
BV
,
L
p
)
{(\mathrm{BV},L^{p})}
-decomposition,
p
=
1
,
2
{p=1,2}
, of functions in metric random walk spaces, a general workspace that includes weighted graphs and nonlocal models used in image processing. We obtain the Euler-Lagrange equations of the corresponding variational problems and their gradient flows. In the case
p
=
1
{p=1}
we also study the associated geometric problem and the thresholding parameters describing the behavior of its solutions.
Funder
Ministerio de Ciencia, Innovación y Universidades
Subject
Applied Mathematics,Analysis
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