Minimax solutions of first-order partial differential equations
Andrei Izmailovich Subbotin · Russian Mathematical Surveys · 1996
Contents Introduction ?1. Some notions and results from non-smooth analysis ?2. Main definitions ?3. Equivalence of minimax and viscosity solutions ?4. Generalized characteristics ?5. Piecewise smooth solutions ?6. The Cauchy problem for a Hamilton-Jacobi equation ?7. Discontinuous solutions of the Dirichlet problem for first-order PDE ?8. Minimax solutions and cost functions of differential games Bibliography