Viscosity solutions of a system of nonlinear second-order elliptic {PDE}s arising in switching games

1 Bensoussan, A.; Lions, J. L. Contrôle Impulsionnel et Inéquations Quasi-Variationelles 1982 MR0673169 Cache/Be/Bensoussan,Quasi-Variationelles,*,1982,1983

2 Capuzzo Dolcetta, I.; Evans, L. C. Optimal switching for ordinary differential equations SIAM J. Cont. Optm. 22 1984 143-161 MR0728678 100 Cache/Ca/Capuzzo Dolcetta,switching,SIAM*,1984,1985

3 Crandall, M. G. Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order Ann. Inst. H. Poincaré Anal. non Lin. 6 1989 419-435 MR1035337 100 Cache/Cr/Crandall,Semidifferentials,,Ann*,1989,1990

4 Crandall, M. G.; Lions, P. L. Viscosity solutions of Hamilton-Jacobi equations Trans. Amer. Math. Soc. 277 1983 1-42 MR0690039 100 Cache/Cr/Crandall,Hamilton-Jacobi,Trans*,1983,1984

5 Ekeland, I.; Lebourg, G. Generic Frechet-differentiability and perturbed optimization problems in Banach spaces Trans. Amer. Math. Soc. 224 1976 193-216 MR0431253 100 Cache/Ek/Ekeland,Frechet-differentiability,Trans*,1976,1977

6 Evans, L. C. Classical solutions of the Hamilton-Jacobi-Bellman equation for uniformly elliptic operators Trans. Amer. Math. Soc. 275 1983 245-255 MR0678347 100 Cache/Ev/Evans,Hamilton-Jacobi-Bellman,Trans*,1983,1984

7 Evans, L. C.; Friedman, A. Optimal stochastic switching and the Dirichlet problem for the Bellman equation Trans. Amer. Math. Soc. 253 1979 365-389 MR0536953 100 Cache/Ev/Evans,stochastic,Trans*,1979,1980

8 Ishii, H. Perron's method for Hamilton-Jacobi equations Duke Math. J. 55 1987 369-384 MR0894587 100 Cache/Is/Ishii,Hamilton-Jacobi,Duke*,1987,1988

9 Ishii, H. On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's Comm. Pure Appl. Math. 42 1989 15-45 MR0973743 92 Cache/Is/Ishii,second-order,Comm*,1989,1990

10 Ishii, H.; Lions, P. L. Viscosity solutions of fully nonlinear second-order elliptic partial differential equations J. Diff. Eq. 83 1990 26-78 MR1031377 100 Cache/Is/Ishii,second-order,J*,1990,1991

11 Ishii, H.; Yamada, N. A remark on a system of inequalities with bilateral obstacles Nonlinear Anal. Theo. Meth. Appl. 13 1989 1295-1301 MR1021407 100 Cache/Is/Ishii,inequalities,Nonlinear*,1989,1990

12 Jensen, R. The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations Arch. Rat. Mech. Anal. 101 1988 1-27 MR0920674 100 Cache/Je/Jensen,principle,Arch*,1988,1989

13 Lenhart, S. M.; Belbas, S. A. A system of nonlinear partial differential equations arising in the optimal control of stochastic systems with switching costs SIAM J. Appl. Math. 43 1983 465-475 MR0700525 100 Cache/Le/Lenhart,nonlinear,SIAM*,1983,1984

14 Lenhart, S. M.; Yamada, N., Viscosity solutions associated with switching game for piecewise-deterministic processes, preprint MR1274894

15 Lions, P. L. Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations Part 1 Comm. in P.D.E. 8 1983 1101-1174 MR0709164

16 Oleinik, A. O.; Radkevic, E. V. Second Order Equations with Nonnegative Characteristic Form Amer. Math. Soc., Providence, Rhode Island and Plenum Press, New York 1973 MR0457908 100 Cache/Ol/Oleinik,Characteristic,*,1973,1974 vii+259 17 Stroock, D. W.; Varadhan, S. R. S. Multidimensional Diffusion Processes Springer-Verlag, Berlin-Heidelberg-New York 1979 MR0532498 100 Cache/St/Stroock,Multidimensional,*,1979,1980 xii+338

18 Yamada, N. A system of elliptic variational inequalities associated with a stochastic switching game Hiroshima Math. J. 13 1983 109-132 MR0693554 100 Cache/Ya/Yamada,inequalities,Hiroshima*,1983,1984

19 Yamada, N. Viscosity solutions for a system of inequalities with bilateral obstacles Funkcial. Ekvac. 30 1987 417-425 MR0927191 0927191 90 Cache/Ya/Yamada,inequalities,Funkcial*,1987,1988