Stability of a class of action functionals depending on convex functions

DOI10.3934/dcds.2022055zbMath1518.49015arXiv2106.10908OpenAlexW3175337183MaRDI QIDQ6102523

Camillo Brena, Luigi Ambrosio

Publication date: 23 June 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.10908

zbMATH Keywords

stabilityHadamard spaceresolvent operatoraction functionalgeodesic metric space\(\Gamma \)-convergenceMosco-convergence\(\lambda \)-convexitygradient flow trajectory

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (1)

Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps

Cites Work

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• Gradient flows on nonpositively curved metric spaces and harmonic maps
• \(\Gamma\)-convergence for a class of action functionals induced by gradients of convex functions
• Gradient flows and evolution variational inequalities in metric spaces. I: structural properties
• Convex analysis and optimization in Hadamard spaces
• Lecture Notes on Gradient Flows and Optimal Transport

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