The Łojasiewicz inequality for free energy functionals on a graph
type: Item
instance of: scholarly article
title: The Łojasiewicz inequality for free energy functionals on a graph
zbMATH Open document ID: 1506.35240
author: Kongzhi Li
author: Xiaoping Xue
published in: Communications on Pure and Applied Analysis
publication date: 2022-10-21T00:00:00Z
Mathematics Subject Classification ID: 35Q84
Mathematics Subject Classification ID: 82C31
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 35R02
Mathematics Subject Classification ID: 35A23
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 49K10
zbMATH DE Number: 7604658
zbMATH Keywords: Fokker-Planck equation
zbMATH Keywords: simple graph
zbMATH Keywords: Łojasiewicz inequality
zbMATH Keywords: Talagrand inequality
zbMATH Keywords: optimal transport
MaRDI profile type: Publication
full work available at URL: cpaa.2022066
OpenAlex ID: W4226184418
cites work: The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems
cites work: Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
cites work: Convergence to global equilibrium for Fokker-Planck equations on a graph and Talagrand-type inequalities
cites work: Entropy dissipation semi-discretization schemes for Fokker-Planck equations
cites work: Fokker-Planck equations for a free energy functional or Markov process on a graph
cites work: Entropy dissipation of Fokker-Planck equations on graphs
cites work: A discrete Schrödinger equation via optimal transport on graphs
cites work: What is a stochastic Hamiltonian process on finite graph? An optimal transport answer
cites work: Geodesics of minimal length in the set of probability measures on graphs
cites work: The Variational Formulation of the Fokker--Planck Equation
cites work: On the Łojasiewicz exponent of Kuramoto model
cites work: Q5643297
cites work: THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
cites work: Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
cites work: Singular Perturbation Methods in Stochastic Differential Equations of Mathematical Physics
cites work: Lower bounds of the Laplacian graph eigenvalues
cites work: Q4409400
cites work: Q4805362
DOI: 10.3934/CPAA.2022066
Recommended article: The Laplacian energy of random graphs
Recommended article: On the generalized free energy inequality
Recommended article: Q3459498
Recommended article: Q5141916
Recommended article: On logarithmic Sobolev inequalities for continuous time random walks on graphs
Recommended article: \(\Gamma\)-convergence of graph Ginzburg-Landau functionals
Recommended article: Q3510969
Recommended article: On Laplacian energy of graphs
Recommended article: Li-Yau inequality for unbounded Laplacian on graphs
description: scientific article; zbMATH DE number 7604658