-
1
-
-
84963420752
-
The Dirichlet problem for semilinear second-order degenerate elliptic equations and applications to stochastic exit time control problems
-
G. BARLES AND J. BURDEAU, The Dirichlet problem for semilinear second-order degenerate elliptic equations and applications to stochastic exit time control problems. Comm. Partial Differential Equations 20 (1995), no. 1-2, 129-178.
-
(1995)
Comm. Partial Differential Equations
, vol.20
, Issue.1-2
, pp. 129-178
-
-
Barles, G.1
Burdeau, J.2
-
2
-
-
0001700806
-
A strong comparison result for the Bellman equation arising in stochastic exit time control problems and its applications
-
G. BARLES AND E. ROUY, A strong comparison result for the Bellman equation arising in stochastic exit time control problems and its applications. Comm. Partial Differential Equations 23 (1998), no. 11-12, 1995-2033.
-
(1998)
Comm. Partial Differential Equations
, vol.23
, Issue.11-12
, pp. 1995-2033
-
-
Barles, G.1
Rouy, E.2
-
3
-
-
0013375249
-
Viscosity solutions of Hamilton-Jacobi equations and state constraints
-
I. CAPUZZO-DOLCETTA AND P. L. LIONS, Viscosity solutions of Hamilton-Jacobi equations and state constraints, Trans. Amer. Math. Soc. 277 (1984), 487-502.
-
(1984)
Trans. Amer. Math. Soc.
, vol.277
, pp. 487-502
-
-
Capuzzo-Dolcetta, I.1
Lions, P.L.2
-
4
-
-
84967708673
-
User's guide to viscosity solutions of second order partial differential equations
-
M. G. CRANDALL, H. ISHII, AND P.-L. LIONS, User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 1, 1-67.
-
(1992)
Bull. Amer. Math. Soc. (N.S.)
, vol.27
, Issue.1
, pp. 1-67
-
-
Crandall, M.G.1
Ishii, H.2
Lions, P.-L.3
-
5
-
-
0030107199
-
A new formulation of state constraint problems for first-order PDEs
-
H. ISHII AND S. KOIKE, A new formulation of state constraint problems for first-order PDEs. SIAM J. Control Optim. 34 (1996), no. 2, 554-571.
-
(1996)
SIAM J. Control Optim.
, vol.34
, Issue.2
, pp. 554-571
-
-
Ishii, H.1
Koike, S.2
-
6
-
-
0034384316
-
A PDE approach to stochastic invariance
-
H. ISHII, P. LORETI, AND E. TESSITORE, A PDE approach to stochastic invariance, Discrete and continuous dynamical systems 6 (2000), no. 3, 651-664.
-
(2000)
Discrete and Continuous Dynamical Systems
, vol.6
, Issue.3
, pp. 651-664
-
-
Ishii, H.1
Loreti, P.2
Tessitore, E.3
-
7
-
-
0013379364
-
Existence of optimal Markovian controls for degenerate diffusions
-
Springer-Verlag, Berlin, New York
-
U. G. HAUSSMANN, Existence of optimal Markovian controls for degenerate diffusions, Lecture Notes in Control and Information Sciences Vol. 78, Springer-Verlag, Berlin, New York, 1986, pp. 171-186.
-
(1986)
Lecture Notes in Control and Information Sciences
, vol.78
, pp. 171-186
-
-
Haussmann, U.G.1
-
9
-
-
0001274938
-
Compactification methods in the control of degenerate diffusions: Existence of an optimal control
-
N. EL KAROUI, D, HUU NGUYEN, AND M. JEANBLANC-PICQUÉ, Compactification methods in the control of degenerate diffusions: Existence of an optimal control. Stochastics 20 (1987), no. 3, 169-219.
-
(1987)
Stochastics
, vol.20
, Issue.3
, pp. 169-219
-
-
El Karoui, N.1
Huu Nguyen, D.2
Jeanblanc-Picqué, M.3
-
10
-
-
0000795020
-
Viscosity solutions of second order fully nonlinear elliptic equations with state constraints
-
M. A. KATSOULAKIS, Viscosity solutions of second order fully nonlinear elliptic equations with state constraints, Indiana Univ. Math. J. 43 (1994), no. 2, 493-519.
-
(1994)
Indiana Univ. Math. J.
, vol.43
, Issue.2
, pp. 493-519
-
-
Katsoulakis, M.A.1
-
11
-
-
0000104617
-
Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I. The model problem
-
J.-M. LASRYAND P.-L. LIONS, Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I. The model problem. Math. Ann. 283 (1989), no. 4, 583-630.
-
(1989)
Math. Ann.
, vol.283
, Issue.4
, pp. 583-630
-
-
Lasryand, J.-M.1
Lions, P.-L.2
-
12
-
-
0003292086
-
Generalized solutions of Hamilton-Jacobi equations
-
Pitman (Advanced Publishing Program), Boston, Mass.-London
-
P.-L. LIONS, Generalized solutions of Hamilton-Jacobi equations, Research Notes in Mathematics, Vol. 69, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1982.
-
(1982)
Research Notes in Mathematics
, vol.69
-
-
Lions, P.-L.1
-
13
-
-
0023421997
-
Some properties of constrained viscosity solutions of Hamilton-Jacobi-Bellman equations
-
P. LORETI, Some properties of constrained viscosity solutions of Hamilton-Jacobi-Bellman equations, SIAM J. Control Optim. 25 (1987), no. 5, 1244-1252.
-
(1987)
SIAM J. Control Optim.
, vol.25
, Issue.5
, pp. 1244-1252
-
-
Loreti, P.1
-
14
-
-
0000123026
-
Approximation and regularity results on constrained viscosity solutions of Hamilton-Jacobi-Bellman equations
-
P. LORETI AND M. E. TESSITORE, Approximation and regularity results on constrained viscosity solutions of Hamilton-Jacobi-Bellman equations, J, Math. Systems, Estim. Control 4 (1994), 467-483.
-
(1994)
J. Math. Systems, Estim. Control
, vol.4
, pp. 467-483
-
-
Loreti, P.1
Tessitore, M.E.2
-
15
-
-
84875084659
-
Stochastic differential equations
-
H. NAGAI, Stochastic differential equations, in Japanese, Kyoritu-Shuppan, Mathematics in 21st Century, Vol. 27, 1999.
-
(1999)
Japanese, Kyoritu-Shuppan, Mathematics in 21st Century
, vol.27
-
-
Nagai, H.1
-
16
-
-
77950648307
-
Some remarks on stochastic optimal controls
-
Proceedings of the Third Japan-USSR Symposium on Probability Theory (Tashkent, 1975), Springer, Berlin
-
M. NISIO, Some remarks on stochastic optimal controls. Proceedings of the Third Japan-USSR Symposium on Probability Theory (Tashkent, 1975), pp. 446-460. Lecture Notes in Math., Vol. 550, Springer, Berlin, 1975.
-
(1975)
Lecture Notes in Math.
, vol.550
, pp. 446-460
-
-
Nisio, M.1
-
17
-
-
33746008117
-
Lectures on stochastic control theory
-
MacMillan India Ltd, Delhi, Bombay
-
M. NISIO, Lectures on stochastic control theory, ISI Lecture Notes, 9, MacMillan India Ltd, Delhi, Bombay, 1981.
-
(1981)
ISI Lecture Notes
, vol.9
-
-
Nisio, M.1
-
18
-
-
0022715502
-
Optimal control with state-space constraint
-
H. M. Soner, Optimal control with state-space constraint. I. SIAM J. Control Optim. 24 (1986), no. 3, 552-561.
-
(1986)
I. SIAM J. Control Optim.
, vol.24
, Issue.3
, pp. 552-561
-
-
Soner, H.M.1
-
19
-
-
0003810314
-
Stochastic controls: Hamiltonian and HJB equations
-
Springer-Verlag, New York
-
J. YONG AND X. Y. ZHOU, Stochastic controls: Hamiltonian and HJB equations, Applications of Mathematics 43, Springer-Verlag, 1999, New York.
-
(1999)
Applications of Mathematics
, vol.43
-
-
Yong, J.1
Zhou, X.Y.2
|