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A counter-example to the characterization of the discontinuous value function of control problems with reflection

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Publication:1854678
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DOI10.1016/S1631-073X(02)02505-0zbMath1025.49018MaRDI QIDQ1854678

Olivier Ley

Publication date: 27 November 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)


zbMATH Keywords

optimal controlHamilton-Jacobi equationviscosity solutionvalue functionrelaxed control problem


Mathematics Subject Classification ID

Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)




Cites Work

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  • Neumann type boundary conditions for Hamilton-Jacobi equations
  • Viscosity solutions of Hamilton-Jacobi equations
  • Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians
  • Stochastic differential equations with reflecting boundary conditions
  • Discontinuous solutions of deterministic optimal stopping time problems
  • Optimal Control and Semicontinuous Viscosity Solutions
  • Discontinuous viscosity solutions to dirichlet problems for hamilton-jacob1 equations with
  • Deterministic Exit Time Control Problems With Discontinuous Exit costs
  • Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
  • Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: a guided visit
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