Generalized characteristics of first order PDEs : applications in optimal control and differential games

1 Method of Characteristics in Smooth Problems.- 2 Generalized Solutions and Singular Characteristics of First Order PDEs.- 3 First Order PDEs in Variation Calculus, Optimal Control and Diffrential Games.- 4 Differential Games with Simple Motions on the Manifolds.- 5 Games of Simple Pursuit and Approach on Two-Dimensional Cone.- 6 Smooth Solutions of a PDE with Nonsmooth Hamiltonian.- 7 Shock Waves Related to First Order PDEs.- 8 Singular Surfaces of Nonsmooth Solutions to Multiple Integral Variational Problems.- 9 Appendix.