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Browsing by Author "Nour, Chadi"

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Browsing by Author "Nour, Chadi"

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  • Semigeodesics and the Minimall Time Function 
    Nour, Chadi (2016-03-30)
    We study the Hamilton-Jacobi equation of the minimal time function in a domain which contains the target set. We generalize the results of Clarke and Nour [J. Convex Anal., 2004], where the target set is taken to be a ...
  • Smooth and nonsmooth duality for free time problems 
    Nour, Chadi (Springer, 2018-04-18)
    The main result of this paper contains a representation of the minimum cost of a free time control problem in terms of the upper envelope of generalized semisolutions of the Hamilton-Jacobi equation. A corollary generalizes ...
  • The union of uniform closed balls conjecture 
    Nour, Chadi; Stern, Ronald J.; Takche, Jean (2016-03-30)
    The exterior sphere condition is compared to proximal smoothness, and examples are provided, which show that the two properties are not necessarily equivalent. Then conditions are given under which equivalence holds, ...
  • Validity of the Union of Uniform Closed Balls Conjecture 
    Nour, Chadi; Stern, Ron J.; Takche, Jean (2016-03-30)