-
1
-
-
0030672454
-
On filtering equations for infinite dimensions
-
N. U. Ahmed, M. Fuhrman, and J. Zabczyk, On filtering equations for infinite dimensions, J. Funct. Anal. 143(1) (1997), 180-204.
-
(1997)
J. Funct. Anal.
, vol.143
, Issue.1
, pp. 180-204
-
-
Ahmed, N.U.1
Fuhrman, M.2
Zabczyk, J.3
-
3
-
-
0002984608
-
On a functional analysis approach to parabolic equations in infinite dimensions
-
P. Cannarsa and G. Da Prato, On a functional analysis approach to parabolic equations in infinite dimensions, J. Funct. Anal. 118(1) (1993), 22-42.
-
(1993)
J. Funct. Anal.
, vol.118
, Issue.1
, pp. 22-42
-
-
Cannarsa, P.1
Da Prato, G.2
-
4
-
-
0026118706
-
Second order Hamilton-Jacobi equations in infinite dimensions
-
P. Cannarsa and G. Da Prato, Second order Hamilton-Jacobi equations in infinite dimensions, SIAM J. Control Optim. 29(2) (1991), 474-492.
-
(1991)
SIAM J. Control Optim.
, vol.29
, Issue.2
, pp. 474-492
-
-
Cannarsa, P.1
Da Prato, G.2
-
5
-
-
0030291175
-
Infinite dimensional Hamilton-Jacobi equations and Dirichlet boundary control problems in parabolic type
-
P. Cannarsa and M. E. Tessitore, Infinite dimensional Hamilton-Jacobi equations and Dirichlet boundary control problems in parabolic type, SIAM J. Control Optim. 34 (1996), 1831-1847.
-
(1996)
SIAM J. Control Optim.
, vol.34
, pp. 1831-1847
-
-
Cannarsa, P.1
Tessitore, M.E.2
-
6
-
-
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. 27(1) (1992), 1-67.
-
(1992)
Bull. Amer. Math. Soc.
, vol.27
, Issue.1
, pp. 1-67
-
-
Crandall, M.G.1
Ishii, H.2
Lions, P.L.3
-
7
-
-
0001871164
-
On partial sup-convolutions, a lemma of P. L. Lions and viscosity solutions in Hilbert spaces
-
M. G. Grandall, M. Kocan, and A. Świȩch, On partial sup-convolutions, a lemma of P. L. Lions and viscosity solutions in Hilbert spaces, Adv. Math. Sci. Appl. 3 (1993/4), 1-15.
-
(1993)
Adv. Math. Sci. Appl.
, vol.3
, pp. 1-15
-
-
Grandall, M.G.1
Kocan, M.2
Świȩch, A.3
-
8
-
-
44949288472
-
Hamilton-Jacobi equations in infinite dimensions. Part IV: Hamiltonians with unbounded linear terms
-
M. G. Grandall and P. L. Lions, Hamilton-Jacobi equations in infinite dimensions. Part IV: Hamiltonians with unbounded linear terms, J. Funct. Anal. 90 (1990), 237-283. Part V: Unbounded linear terms and B-continuous solutions, J. Funct. Anal. 97(2) (1991), 417-465. Part VII: The HJB equation is not always satisfied, J. Funct. Anal. 125 (1994), 111-148.
-
(1990)
J. Funct. Anal.
, vol.90
, pp. 237-283
-
-
Grandall, M.G.1
Lions, P.L.2
-
9
-
-
0001295449
-
Part V: Unbounded linear terms and B-continuous solutions
-
M. G. Grandall and P. L. Lions, Hamilton-Jacobi equations in infinite dimensions. Part IV: Hamiltonians with unbounded linear terms, J. Funct. Anal. 90 (1990), 237-283. Part V: Unbounded linear terms and B-continuous solutions, J. Funct. Anal. 97(2) (1991), 417-465. Part VII: The HJB equation is not always satisfied, J. Funct. Anal. 125 (1994), 111-148.
-
(1991)
J. Funct. Anal.
, vol.97
, Issue.2
, pp. 417-465
-
-
-
10
-
-
0001885872
-
Part VII: The HJB equation is not always satisfied
-
M. G. Grandall and P. L. Lions, Hamilton-Jacobi equations in infinite dimensions. Part IV: Hamiltonians with unbounded linear terms, J. Funct. Anal. 90 (1990), 237-283. Part V: Unbounded linear terms and B-continuous solutions, J. Funct. Anal. 97(2) (1991), 417-465. Part VII: The HJB equation is not always satisfied, J. Funct. Anal. 125 (1994), 111-148.
-
(1994)
J. Funct. Anal.
, vol.125
, pp. 111-148
-
-
-
11
-
-
0003298203
-
Stochastic Equations in Infinite Dimensions
-
Cambridge University Press, Cambridge, UK
-
G. Da Prato and J. Zabczyk, "Stochastic Equations in Infinite Dimensions," Encyclopedia Math. Appl., Cambridge University Press, Cambridge, UK, 1992.
-
(1992)
Encyclopedia Math. Appl.
-
-
Da Prato, G.1
Zabczyk, J.2
-
12
-
-
0020100112
-
Nonlinear semigroup for controlled partially observed diffusions
-
W. H. Fleming, Nonlinear semigroup for controlled partially observed diffusions, SIAM J. Control Optim. 20(2) (1982), 286-301.
-
(1982)
SIAM J. Control Optim.
, vol.20
, Issue.2
, pp. 286-301
-
-
Fleming, W.H.1
-
13
-
-
0020098555
-
Optimal control of partially observed diffusions
-
W. H. Fleming and E. Pardoux, Optimal control of partially observed diffusions, SIAM J. Control Optim. 20(2) (1982), 261-285.
-
(1982)
SIAM J. Control Optim.
, vol.20
, Issue.2
, pp. 261-285
-
-
Fleming, W.H.1
Pardoux, E.2
-
15
-
-
0001232993
-
Regularity of solutions of a second order Hamilton-Jacobi equation and application to a control problem
-
F. Gozzi, Regularity of solutions of a second order Hamilton-Jacobi equation and application to a control problem, Comm. Partial Differential Equations 20(5&6) (1995), 775-826.
-
(1995)
Comm. Partial Differential Equations
, vol.20
, Issue.5-6
, pp. 775-826
-
-
Gozzi, F.1
-
16
-
-
0033894023
-
Hamilton-Jacobi equations in Hilbert spaces and stochastic boundary control
-
F. Gozzi, E. Rouy, and A. Świȩch, Hamilton-Jacobi equations in Hilbert spaces and stochastic boundary control, SIAM J. Control Optim. 38(2) (2000), 400-430.
-
(2000)
SIAM J. Control Optim.
, vol.38
, Issue.2
, pp. 400-430
-
-
Gozzi, F.1
Rouy, E.2
Świȩch, A.3
-
17
-
-
0000710250
-
Partially observed control of Markov processes I
-
O. Hijab, Partially observed control of Markov processes I, Stochastics 28 (1989), 123-144.
-
(1989)
Stochastics
, vol.28
, pp. 123-144
-
-
Hijab, O.1
-
18
-
-
0000710250
-
Partially observed control of Markov processes II
-
O. Hijab, Partially observed control of Markov processes II, Stochastics 28 (1989), 247-262.
-
(1989)
Stochastics
, vol.28
, pp. 247-262
-
-
Hijab, O.1
-
19
-
-
0347235647
-
Partially observed control of Markov processes III
-
O. Hijab, Partially observed control of Markov processes III, Ann. Probab. 18(3) (1990), 1099-1125.
-
(1990)
Ann. Probab.
, vol.18
, Issue.3
, pp. 1099-1125
-
-
Hijab, O.1
-
20
-
-
38249013039
-
Viscosity solutions for a class of Hamilton-Jacobi equations in Hilbert spaces
-
H. Ishii, Viscosity solutions for a class of Hamilton-Jacobi equations in Hilbert spaces, J. Funct. Anal. 105 (1992), 301-341.
-
(1992)
J. Funct. Anal.
, vol.105
, pp. 301-341
-
-
Ishii, H.1
-
21
-
-
84963144955
-
Viscosity solutions of nonlinear second-order partial differential equations in Hilbert spaces
-
H. Ishii, Viscosity solutions of nonlinear second-order partial differential equations in Hilbert spaces, Comm. Partial Differential Equations 18 (1993), 601-651.
-
(1993)
Comm. Partial Differential Equations
, vol.18
, pp. 601-651
-
-
Ishii, H.1
-
24
-
-
0002472798
-
Stochastic partial differential equations and diffusion processes
-
N. V. Krylov and B. L. Rozovskii, Stochastic partial differential equations and diffusion processes, Uspekhi Mat. Nauk 37(6) (1982), 75-95; Russian Math. Surveys 37(6) (1982), 81-105.
-
(1982)
Uspekhi Mat. Nauk
, vol.37
, Issue.6
, pp. 75-95
-
-
Krylov, N.V.1
Rozovskii, B.L.2
-
25
-
-
0345974630
-
-
N. V. Krylov and B. L. Rozovskii, Stochastic partial differential equations and diffusion processes, Uspekhi Mat. Nauk 37(6) (1982), 75-95; Russian Math. Surveys 37(6) (1982), 81-105.
-
(1982)
Russian Math. Surveys
, vol.37
, Issue.6
, pp. 81-105
-
-
-
26
-
-
0347866122
-
Une inégalité pour les opérateurs elliptiques du second ordre
-
P.-L. Lions, Une inégalité pour les opérateurs elliptiques du second ordre, Ann. Mat. Pura Appl. 127 (1981), 1-11.
-
(1981)
Ann. Mat. Pura Appl.
, vol.127
, pp. 1-11
-
-
Lions, P.-L.1
-
27
-
-
34250087346
-
Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. Part I: The case of bounded stochastic evolution
-
P.-L. Lions, Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. Part I: The case of bounded stochastic evolution, Acta Math. 161 (1988), 243-278. Part II: Optimal Control of Zakai's equation, Lecture Notes in Mathematics, Vol. 1390 (G. Da Prato and L. Tubaro, Eds.), Springer-Verlag, Berlin, 1989, 147-170. Part III: Uniqueness of viscosity solutions for general second order equations, J. Funct. Anal. 86 (1989) 1-18.
-
(1988)
Acta Math.
, vol.161
, pp. 243-278
-
-
Lions, P.-L.1
-
28
-
-
34250087346
-
Part II: Optimal Control of Zakai's equation
-
(G. Da Prato and L. Tubaro, Eds.), Springer-Verlag, Berlin
-
P.-L. Lions, Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. Part I: The case of bounded stochastic evolution, Acta Math. 161 (1988), 243-278. Part II: Optimal Control of Zakai's equation, Lecture Notes in Mathematics, Vol. 1390 (G. Da Prato and L. Tubaro, Eds.), Springer-Verlag, Berlin, 1989, 147-170. Part III: Uniqueness of viscosity solutions for general second order equations, J. Funct. Anal. 86 (1989) 1-18.
-
(1989)
Lecture Notes in Mathematics
, vol.1390
, pp. 147-170
-
-
-
29
-
-
34250087346
-
Part III: Uniqueness of viscosity solutions for general second order equations
-
P.-L. Lions, Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. Part I: The case of bounded stochastic evolution, Acta Math. 161 (1988), 243-278. Part II: Optimal Control of Zakai's equation, Lecture Notes in Mathematics, Vol. 1390 (G. Da Prato and L. Tubaro, Eds.), Springer-Verlag, Berlin, 1989, 147-170. Part III: Uniqueness of viscosity solutions for general second order equations, J. Funct. Anal. 86 (1989) 1-18.
-
(1989)
J. Funct. Anal.
, vol.86
, pp. 1-18
-
-
-
30
-
-
0005583077
-
Martingales and Stochastics Integrals I
-
Springer-Verlag, Berlin
-
P. A. Meyer, Martingales and Stochastics Integrals I, in "Lecture Notes in Mathematics," Vol. 284, Springer-Verlag, Berlin, 1972.
-
(1972)
Lecture Notes in Mathematics
, vol.284
-
-
Meyer, P.A.1
-
31
-
-
0025256773
-
Optimal control of stochastic partial differential equations
-
N. Nagase and M. Nisio, Optimal control of stochastic partial differential equations, SIAM J. Control and Optim. 28 (1990), 186-213.
-
(1990)
SIAM J. Control and Optim.
, vol.28
, pp. 186-213
-
-
Nagase, N.1
Nisio, M.2
-
32
-
-
0343936577
-
Equations of non-linear filtering and application to stochastic control with partial observation
-
Nonlinear Filtering and Stochastic Control (Cortona 1981) Springer, Berlin-New York
-
E. Pardoux, Equations of non-linear filtering and application to stochastic control with partial observation, in "Nonlinear Filtering and Stochastic Control (Cortona 1981)," pp. 208-248, Lecture Notes in Mathematics, Vol. 972, Springer, Berlin-New York, 1982.
-
(1982)
Lecture Notes in Mathematics
, vol.972
, pp. 208-248
-
-
Pardoux1
-
33
-
-
0018768309
-
Stochastic partial differential equations and filtering of diffusion processes
-
E. Pardoux, Stochastic partial differential equations and filtering of diffusion processes, Stochastics 3 (1979), 127-167.
-
(1979)
Stochastics
, vol.3
, pp. 127-167
-
-
Pardoux, E.1
-
34
-
-
0001453735
-
Optimization of functions on certain subsets of Banach spaces
-
C. Stegall, Optimization of functions on certain subsets of Banach spaces, Math. Ann. 236 (1978), 171-176.
-
(1978)
Math. Ann.
, vol.236
, pp. 171-176
-
-
Stegall, C.1
-
36
-
-
33947120576
-
Unbounded second order partial differential equations in infinite dimensional Hilbert spaces
-
A. Świȩch, Unbounded second order partial differential equations in infinite dimensional Hilbert spaces, Comm. Partial Differential Equations 19 (1994), 1999-2036.
-
(1994)
Comm. Partial Differential Equations
, vol.19
, pp. 1999-2036
-
-
Świȩch, A.1
-
39
-
-
0026836919
-
On the existence of optimal relaxed controls of stochastic partial differential equations
-
X. Y. Zhou, On the existence of optimal relaxed controls of stochastic partial differential equations, SIAM J. Control and Optim. 30(2) (1992), 247-261.
-
(1992)
SIAM J. Control and Optim.
, vol.30
, Issue.2
, pp. 247-261
-
-
Zhou, X.Y.1
-
40
-
-
0027697778
-
On the necessary conditions of optimal controls for stochastic partial differential equations
-
X. Y. Zhou, On the necessary conditions of optimal controls for stochastic partial differential equations, SIAM J. Control and Optim. 31 (1993), 1462-1478.
-
(1993)
SIAM J. Control and Optim.
, vol.31
, pp. 1462-1478
-
-
Zhou, X.Y.1
-
41
-
-
38249013008
-
A duality analysis on stochastic partial differential equations
-
X. Y. Zhou, A duality analysis on stochastic partial differential equations, J. Funct. Anal. 103 (1992), 275-293.
-
(1992)
J. Funct. Anal.
, vol.103
, pp. 275-293
-
-
Zhou, X.Y.1
|