Outline of the main ideas on a model problem

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


The purpose of this introductory chapter is to motivate the relevance of the notion of viscosity solution of partial differential equations of the form
$$F(x,\,u(x),\,Du(x))\, = \,0$$
in a Dynamic Programming approach to deterministic optimal control theory.


Viscosity Solution Differential Game Pontryagin Maximum Principle Bibliographical Note Viscosity Subsolution 
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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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