-
1
-
-
0000580597
-
Backward-forward stochastic differential equations
-
F. Antonelli, Backward-forward stochastic differential equations, Ann. Appl. Probab. 3 (3) (1993) 777-795.
-
(1993)
Ann. Appl. Probab.
, vol.3
, Issue.3
, pp. 777-795
-
-
Antonelli, F.1
-
2
-
-
0035261952
-
A comparison result for BFSDE's and applications to decisions theory
-
F. Antonelli, E. Barucci, M.E. Mancino, A comparison result for BFSDE's and applications to decisions theory, Math. Methods Oper. Res. 54 (2001) 407-423.
-
(2001)
Math. Methods Oper. Res.
, vol.54
, pp. 407-423
-
-
Antonelli, F.1
Barucci, E.2
Mancino, M.E.3
-
3
-
-
0003809134
-
Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations
-
Birkhauser, Boston
-
M. Bardi, I. Capuzzo Dolcetta, Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations, Birkhauser, Boston, 1997.
-
(1997)
-
-
Bardi, M.1
Capuzzo Dolcetta, I.2
-
4
-
-
84972503006
-
A weak Bernstein method for fully non-linear elliptic equations
-
G. Barles, A weak Bernstein method for fully non-linear elliptic equations, Differential Integral Equations 4 (2) (1991) 241-262.
-
(1991)
Differential Integral Equations
, vol.4
, Issue.2
, pp. 241-262
-
-
Barles, G.1
-
5
-
-
0002098825
-
Sur la generalisation du probleme de Dirichlet, II
-
S. Bernstein, Sur la generalisation du probleme de Dirichlet, II, Math. Ann. 69 (1910) 82-136.
-
(1910)
Math. Ann.
, vol.69
, pp. 82-136
-
-
Bernstein, S.1
-
6
-
-
0003373609
-
The regularity of viscosity solutions for a class of fully nonlinear equations
-
B. Bian, G. Dong, The regularity of viscosity solutions for a class of fully nonlinear equations, Sci. China Ser. A 34 (12) (1991) 1448-1457.
-
(1991)
Sci. China Ser. A
, vol.34
, Issue.12
, pp. 1448-1457
-
-
Bian, B.1
Dong, G.2
-
7
-
-
0002449458
-
Fully Nonlinear Elliptic Equations
-
Amer. Math. Soc. Colloquium Publications Providence, RI
-
L.A. Caffarelli, X. Cabre, Fully Nonlinear Elliptic Equations, Amer. Math. Soc. Colloquium Publications, Vol. 43, Amer. Math. Soc. Providence, RI, 1991.
-
(1991)
Amer. Math. Soc.
, vol.43
-
-
Caffarelli, L.A.1
Cabre, X.2
-
8
-
-
0001581035
-
On the regularity of solutions to a nonlinear ultraparabolic equation arising in mathematical finance
-
G. Citti, A. Pascucci, S. Polidoro, On the regularity of solutions to a nonlinear ultraparabolic equation arising in mathematical finance, Differential Integral Equations 14 (6) (2001) 701-738.
-
(2001)
Differential Integral Equations
, vol.14
, Issue.6
, pp. 701-738
-
-
Citti, G.1
Pascucci, A.2
Polidoro, S.3
-
9
-
-
0035610713
-
Regularity properties of viscosity solutions of a non-Hörmander degenerate equation
-
G. Citti, A. Pascucci, S. Polidoro, Regularity properties of viscosity solutions of a non-Hörmander degenerate equation, J. Math. Pures Appl. 80 (9) (2001) 901-918.
-
(2001)
J. Math. Pures Appl.
, vol.80
, Issue.9
, pp. 901-918
-
-
Citti, G.1
Pascucci, A.2
Polidoro, S.3
-
10
-
-
84968507121
-
Some properties of viscosity solutions of Hamilton Jacobi equations
-
M.G. Crandall, L.C. Evans, P.-L. Lions, Some properties of viscosity solutions of Hamilton Jacobi equations, Trans. Amer. Math. Soc. 282 (1984) 487-502.
-
(1984)
Trans. Amer. Math. Soc.
, vol.282
, pp. 487-502
-
-
Crandall, M.G.1
Evans, L.C.2
Lions, P.-L.3
-
11
-
-
84967708673
-
User's guide to viscosity solutions of second order partial differential equations
-
M.G. Crandall, H. Ishii, P.L. Lions, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N.S.) 27 (1) (1992) 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
-
12
-
-
0001143199
-
Stochastic differential utility
-
D. Duffie, L. Epstein, Stochastic differential utility, Econometrica 60 (2) (1992) 353-394.
-
(1992)
Econometrica
, vol.60
, Issue.2
, pp. 353-394
-
-
Duffie, D.1
Epstein, L.2
-
13
-
-
84966213174
-
Entropy solutions for diffusion-convection equations with partial diffusivity
-
M. Escobedo, J.L. Vazquez, E. Zuazua, Entropy solutions for diffusion-convection equations with partial diffusivity, Trans. Amer. Math. Soc. 343 (2) (1994) 829-842.
-
(1994)
Trans. Amer. Math. Soc.
, vol.343
, Issue.2
, pp. 829-842
-
-
Escobedo, M.1
Vazquez, J.L.2
Zuazua, E.3
-
14
-
-
0002441602
-
Backward-forward Sde's and stochastic differential games
-
S. Hamadene, Backward-forward Sde's and stochastic differential games, Stochastic Process. Appl. 77 (1998) 1-15.
-
(1998)
Stochastic Process. Appl.
, vol.77
, pp. 1-15
-
-
Hamadene, S.1
-
16
-
-
51249168165
-
Solution of forward-backward stochastic differential equations
-
Y. Hu, S. Peng, Solution of forward-backward stochastic differential equations, Probab. Theory Related Fields 103 (1995) 273-283.
-
(1995)
Probab. Theory Related Fields
, vol.103
, pp. 273-283
-
-
Hu, Y.1
Peng, S.2
-
17
-
-
84990575194
-
On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
-
H. Ishii, On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's, Comm. Pure Appl. Math. 42 (1) (1989) 15-45.
-
(1989)
Comm. Pure Appl. Math.
, vol.42
, Issue.1
, pp. 15-45
-
-
Ishii, H.1
-
18
-
-
0001585673
-
On the equivalence of two notions of weak solutions, viscosity solutions and distribution solutions
-
H. Ishii, On the equivalence of two notions of weak solutions, viscosity solutions and distribution solutions, Funkcial Ekvac. Ser. Int. 38 (1) (1995) 101-120.
-
(1995)
Funkcial Ekvac. Ser. Int.
, vol.38
, Issue.1
, pp. 101-120
-
-
Ishii, H.1
-
19
-
-
0002824461
-
Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
-
H. Ishii, P.-L. Lions, Viscosity solutions of fully nonlinear second-order elliptic partial differential equations, J. Differential Equations 83 (1) (1990) 26-78.
-
(1990)
J. Differential Equations
, vol.83
, Issue.1
, pp. 26-78
-
-
Ishii, H.1
Lions, P.-L.2
-
20
-
-
33646945027
-
The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
-
R. Jensen, The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations, Arch. Rational Mech. Anal. 101 (1) (1988) 1-27.
-
(1988)
Arch. Rational Mech. Anal.
, vol.101
, Issue.1
, pp. 1-27
-
-
Jensen, R.1
-
21
-
-
0001156676
-
Linear and Quasilinear Equations of Parabolic Type
-
Amer. Math. Soc., Providence, RI
-
O.A. Ladyzhenskaya, V.A. Solonnikov, N.N. Uralěva, Linear and Quasilinear Equations of Parabolic Type, in: Translations of Mathematical Monographs, Vol. 23, Amer. Math. Soc., Providence, RI, 1967.
-
(1967)
Translations of Mathematical Monographs
, vol.23
-
-
Ladyzhenskaya, O.A.1
Solonnikov, V.A.2
Uralěva, N.N.3
-
22
-
-
84953017099
-
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations II: Viscosity solutions and uniqueness
-
P.-L. Lions, Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations II: viscosity solutions and uniqueness, Commun. Partial Differential Equations 8 (11) (1983) 1229-1276.
-
(1983)
Commun. Partial Differential Equations
, vol.8
, Issue.11
, pp. 1229-1276
-
-
Lions, P.-L.1
-
23
-
-
0344891803
-
Solving forward-backward stochastic differential equations explicitly - A four step scheme
-
J. Ma, P. Protter, J. Yong, Solving forward-backward stochastic differential equations explicitly - a four step scheme, Probab. Theory Related Fields 98 (1994) 339-359.
-
(1994)
Probab. Theory Related Fields
, vol.98
, pp. 339-359
-
-
Ma, J.1
Protter, P.2
Yong, J.3
-
24
-
-
84877611045
-
Forward-Backward Stochastic Differential Equations and their Applications
-
1702, Springer, Berlin
-
J. Ma, J. Yong, Forward-Backward Stochastic Differential Equations and their Applications, in: Lecture Notes in Mathematics, Vol. 1702, Springer, Berlin, 1999.
-
(1999)
Lecture Notes in Mathematics
-
-
Ma, J.1
Yong, J.2
-
25
-
-
38249012577
-
Forward-backward stochastic differential equations and their applications
-
D. Nunziante, Forward-backward stochastic differential equations and their applications, Nonlinear Anal. 18 (11) (1992) 1033-1062.
-
(1992)
Nonlinear Anal.
, vol.18
, Issue.11
, pp. 1033-1062
-
-
Nunziante, D.1
-
26
-
-
0033463544
-
Forward-backward stochastic differential equations and quasilinear parabolic PDEs
-
E. Pardoux, S. Tang, Forward-backward stochastic differential equations and quasilinear parabolic PDEs, Probab. Theory Related Fields 114 (2) (1999) 123-150.
-
(1999)
Probab. Theory Related Fields
, vol.114
, Issue.2
, pp. 123-150
-
-
Pardoux, E.1
Tang, S.2
-
27
-
-
0003220764
-
Stochastic Integration and Differential Equations. A New Approach
-
Springer, Berlin
-
P. Protter, Stochastic Integration and Differential Equations. A New Approach, in: Applications of Mathematics, Vol. 21, Springer, Berlin, 1990.
-
(1990)
Applications of Mathematics
, vol.21
-
-
Protter, P.1
-
28
-
-
84976123867
-
Hölder gradient estimates for fully nonlinear elliptic equations
-
N.S. Trudinger, Hölder gradient estimates for fully nonlinear elliptic equations, Proc. Roy. Soc. Edinburgh, Sect. A 108 (1/2) (1988) 57-65.
-
(1988)
Proc. Roy. Soc. Edinburgh, Sect. A
, vol.108
, Issue.1-2
, pp. 57-65
-
-
Trudinger, N.S.1
-
29
-
-
0000539135
-
Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations
-
N.S. Trudinger, Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations, Rev. Mat. Iberoamericana 4 (3/4) (1988) 453-468.
-
(1988)
Rev. Mat. Iberoamericana
, vol.4
, Issue.3-4
, pp. 453-468
-
-
Trudinger, N.S.1
-
30
-
-
0001294109
-
Cauchy's problem for degenerate second order quasilinear parabolic equations
-
A.I. Vol'pert, S.I. Hudjaev, Cauchy's problem for degenerate second order quasilinear parabolic equations, Math. USSR Sb. 7 (3) (1969) 365-387.
-
(1969)
Math. USSR Sb.
, vol.7
, Issue.3
, pp. 365-387
-
-
Vol'pert, A.I.1
Hudjaev, S.I.2
-
31
-
-
84990616983
-
On the regularity theory of fully nonlinear parabolic equations I
-
L. Wang, On the regularity theory of fully nonlinear parabolic equations I, Comm. Pure Appl. Math. 45 (1) (1992) 27-76.
-
(1992)
Comm. Pure Appl. Math.
, vol.45
, Issue.1
, pp. 27-76
-
-
Wang, L.1
-
32
-
-
84990619178
-
On the regularity theory of fully nonlinear parabolic equations II
-
L. Wang, On the regularity theory of fully nonlinear parabolic equations II, Comm. Pure Appl. Math. 45 (2) (1992) 141-178.
-
(1992)
Comm. Pure Appl. Math.
, vol.45
, Issue.2
, pp. 141-178
-
-
Wang, L.1
|