
Differential Games and Directional Derivatives of Viscosity Solutions of Isaacs’ Equations II
Lions, Pierre-Louis; Souganidis, Panagiotis E. (1986), Differential Games and Directional Derivatives of Viscosity Solutions of Isaacs’ Equations II, SIAM Journal on Control and Optimization, 24, 5, p. 1086-1089. http://dx.doi.org/10.1137/0324065
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Article accepté pour publication ou publiéDate
1986Journal name
SIAM Journal on Control and OptimizationVolume
24Number
5Publisher
SIAM
Pages
1086-1089
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Show full item recordAbstract (EN)
Recent work by the authors [this Journal, 23 (1985), pp. 566-583], has demonstrated the con-nections between the notion of viscosity sub- and super-solutions of first-order, dynamic programming PDE and the optimality principle of dynamic programming, as well as the directional derivatives of viscosity solutions of the above equations at an arbitrary point. The present note contains a remark and a counterexample which complement the results cited.Subjects / Keywords
differential games; optimal control; Hamilton–Jacobi equations; directional derivatives; viscosity solutionsRelated items
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