Asymptotic solutions for large time of Hamilton–Jacobi equations in euclidean n space
Hitoshi Ishii (2008)
Annales de l'I.H.P. Analyse non linéaire
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Hitoshi Ishii (2008)
Annales de l'I.H.P. Analyse non linéaire
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Marco Castelpietra (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider an optimal control problem for a system of the form = , with a running cost . We prove an interior sphere property for the level sets of the corresponding value function . From such a property we obtain a semiconcavity result for , as well as perimeter estimates for the attainable sets of a symmetric control system.
Dariusz Idczak, Marek Majewski, Stanisław Walczak (2003)
International Journal of Applied Mathematics and Computer Science
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In the present paper, some results concerning the continuous dependence of optimal solutions and optimal values on data for an optimal control problem associated with a Goursat-Darboux problem and an integral cost functional are derived.
Ege, Nihal, Guseinov, Khalik G. (2009)
Abstract and Applied Analysis
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Hoda A. Ali (2006)
Mathematica Slovaca
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Alexander Zaslavski (2009)
Control and Cybernetics
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