Resolvent Flows for Convex Functionals and p-Harmonic Maps

Resolvent Flows for Convex Functionals and p-Harmonic Maps

We prove the unique existence of the (non-linear) resolvent associated to a coercive proper lower semicontinuous function satisfying a weak notion of p-uniform λ-convexity on a complete metric space, and establish the existence of the minimizer of such functions as the large time limit of the resolv...

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Bibliographic Details
Main Author: Kuwae Kazuhiro
Format: Article
Language:English
Published: De Gruyter 2015-02-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
cat(0)-space
cat(k)-space
p-uniformly convex space
weak convergence
p-uniformly λ-convex function
moreau-yosida approximation
hamilton-jacobi semi-group
hopf-lax formula
resolvent
local slope
global slope
stationary point
cheeger’s energy
cheeger type sobolev space
p-harmonic map
lp- wasserstein space
generalized geodesics
primary 53c20; secondary 53c21, 53c23
Online Access:https://doi.org/10.1515/agms-2015-0004

Internet

https://doi.org/10.1515/agms-2015-0004

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