-
1
-
-
0036338482
-
Viscosity solutions methods for singular perturbations in deterministic and stochastic control
-
Alvarez O, Bardi M. Viscosity solutions methods for singular perturbations in deterministic and stochastic control. SIAM J Control Optim 2001/2002; 40: 1159-1188.
-
(2001)
SIAM J Control Optim
, vol.40
, pp. 1159-1188
-
-
Alvarez, O.1
Bardi, M.2
-
2
-
-
0242370970
-
Singular perturbations of nonlinear degenerate parabolic PDEs: A general convergence result
-
Alvarez O, Bardi M. Singular perturbations of nonlinear degenerate parabolic PDEs: A general convergence result. Arch Ration Mech Anal 2003; 170: 17-61.
-
(2003)
Arch Ration Mech Anal
, vol.170
, pp. 17-61
-
-
Alvarez, O.1
Bardi, M.2
-
3
-
-
84860612934
-
Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations
-
Alvarez O, Bardi M. Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations. Mem Amer Math Soc 2010; 204: 1-88.
-
(2010)
Mem Amer Math Soc
, vol.204
, pp. 1-88
-
-
Alvarez, O.1
Bardi, M.2
-
4
-
-
36049037276
-
Multiscale problems and homogenization for second order Hamilton-Jacobi equations
-
Alvarez O, Bardi M, Marchi C. Multiscale problems and homogenization for second order Hamilton-Jacobi equations. J Differ Equ 2007; 243: 349-387.
-
(2007)
J Differ Equ
, vol.243
, pp. 349-387
-
-
Alvarez, O.1
Bardi, M.2
Marchi, C.3
-
5
-
-
85130890032
-
Multiscale singular perturbations and homogenization of optimal control problems
-
in, (ed. F. Ancona et al.), Series on Advances in Mathematics for Applied Sciences, World Scientific, Hackensack, NJ
-
Alvarez O, Bardi M, Marchi C. Multiscale singular perturbations and homogenization of optimal control problems, in Geometric Control and Nonsmooth Analysis (ed. F. Ancona et al.), Series on Advances in Mathematics for Applied Sciences, vol. 76. World Scientific, Hackensack, NJ, 2008.
-
(2008)
Geometric Control and Nonsmooth Analysis
, vol.76
-
-
Alvarez, O.1
Bardi, M.2
Marchi, C.3
-
7
-
-
79951575188
-
Convergence by viscosity methods in multiscale financial models with stochastic volatility
-
Bardi M, Cesaroni A, Manca L. Convergence by viscosity methods in multiscale financial models with stochastic volatility. SIAM J Finan Math 2010; 1: 230-265.
-
(2010)
SIAM J Finan Math
, vol.1
, pp. 230-265
-
-
Bardi, M.1
Cesaroni, A.2
Manca, L.3
-
8
-
-
0011074435
-
On the Bellman equation for some unbounded control problems
-
Bardi M, Da Lio F. On the Bellman equation for some unbounded control problems. No DEA Nonlinear Differ Equ Appl 1997; 4: 491-510.
-
(1997)
No DEA Nonlinear Differ Equ Appl
, vol.4
, pp. 491-510
-
-
Bardi, M.1
Da Lio, F.2
-
9
-
-
0142168487
-
Uniqueness results for quasilinear parabolic equations through viscosity solutions' methods
-
Barles G, Biton S, Bourgoing M, Ley O. Uniqueness results for quasilinear parabolic equations through viscosity solutions' methods. Calc Var Partial Differ Equ 2003; 18: 159-179.
-
(2003)
Calc Var Partial Differ Equ
, vol.18
, pp. 159-179
-
-
Barles, G.1
Biton, S.2
Bourgoing, M.3
Ley, O.4
-
11
-
-
2442624446
-
Controlled diffusions in a random medium
-
Bensoussan A, Blankenship G. Controlled diffusions in a random medium. Stochastics 1988; 24: 87-120.
-
(1988)
Stochastics
, vol.24
, pp. 87-120
-
-
Bensoussan, A.1
Blankenship, G.2
-
13
-
-
36949037739
-
Averaging of singularly perturbed controlled stochastic differential equations
-
Borkar VS, Gaitsgory V. Averaging of singularly perturbed controlled stochastic differential equations. Appl Math Optim 2007; 56: 169-209.
-
(2007)
Appl Math Optim
, vol.56
, pp. 169-209
-
-
Borkar, V.S.1
Gaitsgory, V.2
-
14
-
-
52649108616
-
Singular perturbations in ergodic control of diffusions
-
Borkar VS, Gaitsgory V. Singular perturbations in ergodic control of diffusions. SIAM J Control Optim 2007; 46: 1562-1577.
-
(2007)
SIAM J Control Optim
, vol.46
, pp. 1562-1577
-
-
Borkar, V.S.1
Gaitsgory, V.2
-
16
-
-
13844316338
-
Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media
-
Caffarelli LA, Souganidis PE, Wang L. Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media, Comm Pure Appl Math 2005; 58: 319-361.
-
(2005)
Comm Pure Appl Math
, vol.58
, pp. 319-361
-
-
Caffarelli, L.A.1
Souganidis, P.E.2
Wang, L.3
-
18
-
-
0003904892
-
-
Springer-Verlag, New York
-
Clarke FH, Ledyaev YS, Stern RJ, Wolenski PR. Nonsmooth Analysis and Control Theory. Springer-Verlag, New York, 1998.
-
(1998)
Nonsmooth Analysis and Control Theory
-
-
Clarke, F.H.1
Ledyaev, Y.S.2
Stern, R.J.3
Wolenski, P.R.4
-
20
-
-
84967708673
-
Users guide to viscosity solutions of second order partial differential equations
-
(N.S.)
-
Crandall MG, Ishii H, Lions P-L. Users guide to viscosity solutions of second order partial differential equations. Bull Amer Math Soc (N.S.) 1992; 27: 1-67.
-
(1992)
Bull Amer Math Soc
, vol.27
, pp. 1-67
-
-
Crandall, M.G.1
Ishii, H.2
Lions, P.-L.3
-
21
-
-
33847052505
-
Uniqueness results for second-order Bellman-Isaacs equations under quadratic growth assumptions and applications
-
Da Lio F, Ley O. Uniqueness results for second-order Bellman-Isaacs equations under quadratic growth assumptions and applications. SIAM J Control Optim 2006; 45: 74-106.
-
(2006)
SIAM J Control Optim
, vol.45
, pp. 74-106
-
-
Da Lio, F.1
Ley, O.2
-
23
-
-
0003201683
-
-
1543, Springer-Verlag, Berlin, Germany
-
Dontchev AL, Zolezzi T. Well-Posed Optimization Problems. Lecture Notes in Mathematics, 1543. Springer-Verlag, Berlin, Germany, 1993.
-
(1993)
Well-Posed Optimization Problems. Lecture Notes in Mathematics
-
-
Dontchev, A.L.1
Zolezzi, T.2
-
24
-
-
84971110219
-
The perturbed test function method for viscosity solutions of nonlinear PDE
-
Evans LC. The perturbed test function method for viscosity solutions of nonlinear PDE. Proc Roy Soc Edinburgh Sect A 1989; 111: 359-375.
-
(1989)
Proc Roy Soc Edinburgh Sect A
, vol.111
, pp. 359-375
-
-
Evans, L.C.1
-
26
-
-
0003580301
-
-
Cambridge University Press, Cambridge, UK
-
Fouque J-P, Papanicolaou G, Sircar R. Derivatives in Financial Markets with Stochastic Volatility. Cambridge University Press, Cambridge, UK, 2000.
-
(2000)
Derivatives in Financial Markets with Stochastic Volatility
-
-
Fouque, J.-P.1
Papanicolaou, G.2
Sircar, R.3
-
31
-
-
0000102848
-
Uniqueness of unbounded viscosity solution of Hamilton Jacobi equations
-
Ishii H. Uniqueness of unbounded viscosity solution of Hamilton Jacobi equations. Indiana Univ Math J 1984; 33: 721-748.
-
(1984)
Indiana Univ Math J
, vol.33
, pp. 721-748
-
-
Ishii, H.1
-
32
-
-
0009908478
-
Some asymptotic problems in fully nonlinear elliptic equations and stochastic control
-
Jensen R, Lions P-L. Some asymptotic problems in fully nonlinear elliptic equations and stochastic control. Ann Scuola Norm Sup Pisa Cl Sci 1984; 11: 129-176.
-
(1984)
Ann Scuola Norm Sup Pisa Cl Sci
, vol.11
, pp. 129-176
-
-
Jensen, R.1
Lions, P.-L.2
-
38
-
-
0344339292
-
Singular perturbations and time scales in control theory and applications: An overview
-
Naidu DS. Singular perturbations and time scales in control theory and applications: An overview. Dyn Contin Discrete Impuls Syst Ser B Appl Algorithms 2002; 9: 233-278.
-
(2002)
Dyn Contin Discrete Impuls Syst Ser B Appl Algorithms
, vol.9
, pp. 233-278
-
-
Naidu, D.S.1
-
39
-
-
0035565829
-
On the Poisson equation and diffusion approximation, I
-
Pardoux E, Veretennikov AY. On the Poisson equation and diffusion approximation, I. Ann Probab 2001; 29: 1061-1085.
-
(2001)
Ann Probab
, vol.29
, pp. 1061-1085
-
-
Pardoux, E.1
Veretennikov, A.Y.2
-
40
-
-
0038336352
-
On the Poisson equation and diffusion approximation, II
-
Pardoux E, Veretennikov AY. On the Poisson equation and diffusion approximation, II. Ann Probab 2003; 31: 1166-1192.
-
(2003)
Ann Probab
, vol.31
, pp. 1166-1192
-
-
Pardoux, E.1
Veretennikov, A.Y.2
-
42
-
-
20444500313
-
Bounds and asymptotic approximations for utility prices when volatility is random
-
Sircar R, Zariphopoulou T. Bounds and asymptotic approximations for utility prices when volatility is random. SIAM J Control Optim 2004/2005; 43: 1328-1353.
-
(2004)
SIAM J Control Optim
, vol.43
, pp. 1328-1353
-
-
Sircar, R.1
Zariphopoulou, T.2
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