The value functions approach and Hopf-Lax formula for multiobjective costs via set optimization

DOI10.1016/j.jmaa.2019.123605zbMath1429.49019OpenAlexW2955994570WikidataQ127070991 ScholiaQ127070991MaRDI QIDQ2009321

Andreas H. Hamel, Daniela Visetti

Publication date: 28 November 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10281/350102

zbMATH Keywords

Hamilton-Jacobi equationvalue functionBellman's principleset relationsHopf-Lax formulamulticriteria calculus of variations

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Hamilton-Jacobi equations (35F21)

Related Items

Characteristic curves for set-valued Hamilton-Jacobi equations ⋮ The Hopf-Lax formula for multiobjective costs with non-constant discount via set optimization

Cites Work

• Unnamed Item
• Unnamed Item
• Optimization over the efficient set of multi-objective convex optimal control problems
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Compromise solutions, domination structures, and Salukvadze's solution
• Variational methods in partially ordered spaces
• Necessary conditions for free end-time, measurably time dependent optimal control problems with state constraints
• An integral Jensen inequality for convex multifunctions
• Nondominated decisions and cone convexity in dynamic multicriteria decision problems
• Integrals of set-valued functions
• A Comparison of Techniques for Dynamic Multivariate Risk Measures
• Set Optimization—A Rather Short Introduction
• Set-Valued Return Function and Generalized Solutions for Multiobjective Optimal Control Problems (MOC)
• Directional derivatives and subdifferentials of set-valued convex functions
• Multicriteria Optimal Control and Vectorial Hamilton-Jacobi Equation
• Multicriteria Optimization
• Set-valued analysis
• On noninferior performance index vectors