Geodesic
Approximation of nonsmooth optimal result in one class of velocity problems
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 16 (2013), pp. 71-77 Cet article a éte moissonné depuis la source Math-Net.Ru

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One class of velocity problems with circle motion vectogramme is studied. The target set is nonsmooth and nonconvex in common case in these problems. The relation between their optimal result function and generalized solution of connected boundary condition problems of Hamilton-Jacobi and eikonal PDE is shown. The singular curves (which are called bisector) of the target set are constructed. An example of one velocity problems is calculated. Programm complex “SharpEye” used for visualization of optimal result function approximation.
Keywords: velocity problem, singular curve, boundary condition problem, optimal result function. 
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A. A. Uspenskii; P. D. Lebedev; P. A. Vasev. Approximation of nonsmooth optimal result in one class of velocity problems. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 16 (2013), pp. 71-77. http://geodesic.mathdoc.fr/item/VCHGU_2013_16_a6/

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