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Continuous viscosity solutions of Hamilton-Jacobi equations

  • Martino Bardi
  • Italo Capuzzo-Dolcetta
Part of the Systems & Control: Foundations & Applications book series (MBC)

Abstract

This chapter is devoted to the basic theory of continuous viscosity solutions of the Hamilton-Jacobi equation
$$F(x,u(x),Du(x)) = 0x \in \Omega ,$$
(HJ)
where Ω is an open domain of ℝ N and the Hamiltonian F = F(x, r, p) is a continuous real valued function on Ω × ℝ × ℝ N .

Keywords

Optimal Control Problem Viscosity Solution Directional Derivative LIPSCHITZ Continuity Bibliographical Note 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Martino Bardi
    • 1
  • Italo Capuzzo-Dolcetta
    • 2
  1. 1.Dipartimento di Matematica P. ed A.Università di PadovaPadovaItaly
  2. 2.Dipartimento di MatematicaUniversità di Roma “La Sapienza”RomaItaly

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