Weighted Energy-Dissipation principle for gradient flows in metric spaces

Riccarda Rossi; Giuseppe Savaré; Antonio Segatti; Ulisse Stefanelli

doi:10.1016/j.matpur.2018.06.022

Weighted Energy-Dissipation principle for gradient flows in metric spaces

Riccarda Rossi
, Giuseppe Savaré
, Antonio Segatti
, Ulisse Stefanelli

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

Original language	English
Pages (from-to)	1-66
Number of pages	66
Journal	Journal des Mathematiques Pures et Appliquees
Volume	127
Early online date	28 Jun 2018
DOIs	https://doi.org/10.1016/j.matpur.2018.06.022
Publication status	Published - Jul 2019

Funding

G.S. has been partially supported by MIUR via PRIN 2015 project “Calculus of Variations”, by Cariplo foundation and Regione Lombardia via project Variational evolution problems and optimal transport , and by IMATI-CNR . R.R. and A.S. acknowledge support from GNAMPA ( Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni ) of INdAM (Istituto Nazionale di Alta Matematica). U.S. acknowledges the support by the Vienna Science and Technology Fund (WWTF) through project MA14-009 and by the Austrian Science Fund (FWF) projects F 65 , I 2375 , and P 2705 2. Appendix A

Austrian Fields of Science 2012

101002 Analysis

Keywords

Curve of maximal slope
Gradient flow
Hamilton–Jacobi equation
Metric space
Variational principle
Weighted Energy-Dissipation functionals
MINIMUM PRINCIPLES
VARIATIONAL PRINCIPLE
Hamilton-Jacobi equation
PARABOLIC EQUATIONS
TRAJECTORIES
HAMILTON-JACOBI EQUATIONS
RELAXATION
CONJECTURE
SEMI-GROUPS
NONLINEAR EVOLUTION-EQUATIONS
FUNCTIONALS

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10.1016/j.matpur.2018.06.022

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title = "Weighted Energy-Dissipation principle for gradient flows in metric spaces",

keywords = "Curve of maximal slope, Gradient flow, Hamilton–Jacobi equation, Metric space, Variational principle, Weighted Energy-Dissipation functionals, MINIMUM PRINCIPLES, VARIATIONAL PRINCIPLE, Hamilton-Jacobi equation, PARABOLIC EQUATIONS, TRAJECTORIES, HAMILTON-JACOBI EQUATIONS, RELAXATION, CONJECTURE, SEMI-GROUPS, NONLINEAR EVOLUTION-EQUATIONS, FUNCTIONALS",

author = "Riccarda Rossi and Giuseppe Savar{\'e} and Antonio Segatti and Ulisse Stefanelli",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Masson SAS",

year = "2019",

month = jul,

doi = "10.1016/j.matpur.2018.06.022",

language = "English",

volume = "127",

pages = "1--66",

journal = "Journal des Mathematiques Pures et Appliquees",

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T1 - Weighted Energy-Dissipation principle for gradient flows in metric spaces

AU - Rossi, Riccarda

AU - Savaré, Giuseppe

AU - Segatti, Antonio

AU - Stefanelli, Ulisse

PY - 2019/7

Y1 - 2019/7

KW - Curve of maximal slope

KW - Gradient flow

KW - Hamilton–Jacobi equation

KW - Metric space

KW - Variational principle

KW - Weighted Energy-Dissipation functionals

KW - MINIMUM PRINCIPLES

KW - VARIATIONAL PRINCIPLE

KW - Hamilton-Jacobi equation

KW - PARABOLIC EQUATIONS

KW - TRAJECTORIES

KW - HAMILTON-JACOBI EQUATIONS

KW - RELAXATION

KW - CONJECTURE

KW - SEMI-GROUPS

KW - NONLINEAR EVOLUTION-EQUATIONS

KW - FUNCTIONALS

UR - https://www.scopus.com/pages/publications/85049485297

U2 - 10.1016/j.matpur.2018.06.022

DO - 10.1016/j.matpur.2018.06.022

M3 - Article

AN - SCOPUS:85049485297

SN - 0021-7824

VL - 127

SP - 1

EP - 66

JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

ER -

Weighted Energy-Dissipation principle for gradient flows in metric spaces

Funding

Austrian Fields of Science 2012

Keywords

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