1.

Aubin JP, Ekeland I (1984) Applied Nonlinear Analysis. Wiley Interscience, New York

2.

Barles G, Perthame B (1988) Exit time problems in optimal control and vanishing viscosity method. SIAM J Control Optim 26:1133–1148

3.

Barles G, Perthame B (1987) Discontinuous solutions of deterministic optimal stopping time problems. Math Methods Numer Anal 21(4):557–579

4.

Cannarsa P (1989) Regularity properties of solutions to Hamilton-Jacobi equations in infinite dimensions and nonlinear optimal control. Differential Integral Equations 2:479–493

5.

Capuzzo-Dolcetta I, Lions PL (to appear) Hamilton-Jacobi equations and state constraints problems. Trans Amer Math Soc

6.

Clarke F (1983) Optimization and Nonsmooth Analysis. Wiley, New York

7.

Crandall MG, Lions PL (1983) Viscosity solutions of Hamilton-Jacobi equations. Trans Amer Math Soc 277:1–42

8.

Crandall MG, Lions PL (1985) Hamilton-Jacobi equations in infinite dimensions, I. J Funct Anal 62:379–396

9.

Crandall MG, Lions PL (1986) Hamilton-Jacobi equations in infinite dimensions, II. J Funct Anal 65:368–405

10.

Crandall MG, Lions PL (1986) Hamilton-Jacobi equations in infinite dimensions, III. J Funct Anal 68:368–405

11.

Crandall MG, Lions PL (preprint) Hamilton-Jacobi equations in infinite dimensions, IV

12.

Crandall MG, Evans LC, Lions PL (1984) Some properties of the viscosity solutions of Hamilton-Jacobi equations. Trans Amer Math Soc 282:487–502

13.

Federer H (1959) Curvature measures. Trans Amer Math Soc 93:429–437

14.

Giles JR (1982) Convex Analysis with Application in Differentiation of Convex Functions. Pitman, Boston

15.

Ishii H (to appear) A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations. Ann Scuola Norm Sup Pisa Cl Sci (4)

16.

Lions PL (1982) Generalized Solutions of Hamilton-Jacobi Equations. Pitman, Boston

17.

Lions PL (1985) Optimal control and viscosity solutions. Proc. Conf. Dynamic Programming, Rome, 1983. Springer-Verlag, Berlin

18.

Loreti P (1987) Some properties of constrained viscosity solutions of Hamilton-Jacobi-Bellman equations. SIAM J Control Optim 25:1244–1252

19.

Soner HM (1986) Optimal control with state-space constraint, I. SIAM J Control Optim 24:522–561

20.

Soner HM (1988) On the Hamilton-Jacobi-Bellman equations in Banach spaces. J Optim Theory Appl 57:429–437