The Hopf-Lax formula for multiobjective costs with non-constant discount via set optimization (Q2102111)
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| English | The Hopf-Lax formula for multiobjective costs with non-constant discount via set optimization |
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The Hopf-Lax formula for multiobjective costs with non-constant discount via set optimization (English)
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28 November 2022
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In this paper, the minimization of a multiobjective Lagrangian with non-constant discount is studied. To this end, the problem is embedded into a set-valued framework, and a Bellman's optimality principle and a Hopf-Lax formula are derived. The value function is shown to be a solution of a set-valued Hamilton-Jacobi equation.
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multicriteria calculus of variations
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value function
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discount factor
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Hopf-Lax formula
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Bellman's principle
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Hamilton-Jacobi-Bellman equation
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