-
1
-
-
84859722346
-
Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments
-
Armstrong S. N., Souganidis P. E.: Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments. J. Math. Pures Appl. (9) 97(5), 460-504 (2012).
-
(2012)
J. Math. Pures Appl. (9)
, vol.97
, Issue.5
, pp. 460-504
-
-
Armstrong, S.N.1
Souganidis, P.E.2
-
2
-
-
84878520636
-
Concentration phenomena for neutronic multigroup diffusion in random environments
-
Armstrong S. N., Souganidis P. E.: Concentration phenomena for neutronic multigroup diffusion in random environments. Ann. Inst. H. Poincaré Anal. Non Linéaire, 30, 419-439 (2013).
-
(2013)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.30
, pp. 419-439
-
-
Armstrong, S.N.1
Souganidis, P.E.2
-
3
-
-
0024070155
-
Exit time problems in optimal control and vanishing viscosity method
-
Barles G., Perthame B.: Exit time problems in optimal control and vanishing viscosity method. SIAM J. Control Optim. 26(5), 1133-1148 (1988).
-
(1988)
SIAM J. Control Optim.
, vol.26
, Issue.5
, pp. 1133-1148
-
-
Barles, G.1
Perthame, B.2
-
4
-
-
4344560340
-
Harnack type estimates for nonlinear elliptic systems and applications
-
Busca J., Sirakov B.: Harnack type estimates for nonlinear elliptic systems and applications. Ann. Inst. H. Poincare Anal. Non Lineaire 21(5), 543-590 (2004).
-
(2004)
Ann. Inst. H. Poincare Anal. Non Lineaire
, vol.21
, Issue.5
, pp. 543-590
-
-
Busca, J.1
Sirakov, B.2
-
5
-
-
84881110499
-
Adjoint methods for obstacle problems and weakly coupled systems of PDE
-
Cagnetti F., Gomes D., Tran H. V.: Adjoint methods for obstacle problems and weakly coupled systems of PDE. ESAIM Control Optim. Calc. Var. 19(3), 754-779 (2013).
-
(2013)
ESAIM Control Optim. Calc. Var.
, vol.19
, Issue.3
, pp. 754-779
-
-
Cagnetti, F.1
Gomes, D.2
Tran, H.V.3
-
6
-
-
80051989204
-
Homogenization and vanishing viscosity in fully nonlinear elliptic equations: rate of convergence estimates
-
Camilli F., Cesaroni A., Marchi C.: Homogenization and vanishing viscosity in fully nonlinear elliptic equations: rate of convergence estimates. Adv. Nonlinear Stud. 11(2), 405-428 (2011).
-
(2011)
Adv. Nonlinear Stud.
, vol.11
, Issue.2
, pp. 405-428
-
-
Camilli, F.1
Cesaroni, A.2
Marchi, C.3
-
7
-
-
77950241151
-
Homogenization of monotone systems of Hamilton-Jacobi equations
-
Camilli F., Ley O., Loreti P.: Homogenization of monotone systems of Hamilton-Jacobi equations. ESAIM Control Optim. Calc. Var. 16(1), 58-76 (2010).
-
(2010)
ESAIM Control Optim. Calc. Var.
, vol.16
, Issue.1
, pp. 58-76
-
-
Camilli, F.1
Ley, O.2
Loreti, P.3
-
8
-
-
84869882637
-
Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations
-
Camilli F., Ley O., Loreti P., Nguyen V.: Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations. NoDEA Nonlinear Differ. Equ. Appl. 19(6), 719-749 (2012).
-
(2012)
NoDEA Nonlinear Differ. Equ. Appl.
, vol.19
, Issue.6
, pp. 719-749
-
-
Camilli, F.1
Ley, O.2
Loreti, P.3
Nguyen, V.4
-
9
-
-
84862148694
-
Continuous dependence estimates and homogenization of quasi-monotone systems of fully nonlinear second order parabolic equations
-
Camilli F., Marchi C.: Continuous dependence estimates and homogenization of quasi-monotone systems of fully nonlinear second order parabolic equations. Nonlinear Anal. TMA 75, 5103-5118 (2012).
-
(2012)
Nonlinear Anal. TMA
, vol.75
, pp. 5103-5118
-
-
Camilli, F.1
Marchi, C.2
-
10
-
-
0039300006
-
On the rate of convergence in homogenization of Hamilton-Jacobi equations
-
Capuzzo-Dolcetta I., Ishii H.: On the rate of convergence in homogenization of Hamilton-Jacobi equations. Indiana Univ. Math. J. 50(3), 1113-1129 (2001).
-
(2001)
Indiana Univ. Math. J.
, vol.50
, Issue.3
, pp. 1113-1129
-
-
Capuzzo-Dolcetta, I.1
Ishii, H.2
-
11
-
-
0032412399
-
Lagrangian graphs, minimizing measures and Mañé's critical values
-
Contreras G., Iturriaga R., Paternain G. P., Paternain M.: Lagrangian graphs, minimizing measures and Mañé's critical values. Geom. Funct. Anal. 8(5), 788-809 (1998).
-
(1998)
Geom. Funct. Anal.
, vol.8
, Issue.5
, pp. 788-809
-
-
Contreras, G.1
Iturriaga, R.2
Paternain, G.P.3
Paternain, M.4
-
12
-
-
0000466871
-
Periodic homogenization of Hamilton-Jacobi equations: additive eigenvalues and variational formula
-
Concordel M. C.: Periodic homogenization of Hamilton-Jacobi equations: additive eigenvalues and variational formula. Indiana Univ. Math. J. 45(4), 1095-1117 (1996).
-
(1996)
Indiana Univ. Math. J.
, vol.45
, Issue.4
, pp. 1095-1117
-
-
Concordel, M.C.1
-
13
-
-
21744440870
-
Periodic homogenisation of Hamilton-Jacobi equations. II. Eikonal equations
-
Concordel M. C.: Periodic homogenisation of Hamilton-Jacobi equations. II. Eikonal equations. Proc. R. Soc. Edinburgh Sect. A 127(4), 665-689 (1997).
-
(1997)
Proc. R. Soc. Edinburgh Sect. A
, vol.127
, Issue.4
, pp. 665-689
-
-
Concordel, M.C.1
-
14
-
-
0000816682
-
Piecewise-deterministic Markov processes: a general class of nondiffusion stochastic models
-
Davis M. H. A.: Piecewise-deterministic Markov processes: a general class of nondiffusion stochastic models. J. R. Stat. Soc. Ser. B 46(3), 353-388 (1984).
-
(1984)
J. R. Stat. Soc. Ser. B
, vol.46
, Issue.3
, pp. 353-388
-
-
Davis, M.H.A.1
-
15
-
-
0040306511
-
On the Dirichlet problem for a class of second order PDE systems with small parameter
-
Eizenberg A., Freidlin M.: On the Dirichlet problem for a class of second order PDE systems with small parameter. Stochastics Stochastics Rep., 33(3-4), 111-148 (1990).
-
(1990)
Stochastics Stochastics Rep.
, vol.33
, Issue.3-4
, pp. 111-148
-
-
Eizenberg, A.1
Freidlin, M.2
-
16
-
-
0038585921
-
Viscosity solutions for weakly coupled systems of Hamilton-Jacobi equations
-
Engler H., Lenhart S. M.: Viscosity solutions for weakly coupled systems of Hamilton-Jacobi equations. Proc. Lond. Math. Soc. (3) 63(1), 212-240 (1991).
-
(1991)
Proc. Lond. Math. Soc. (3)
, vol.63
, Issue.1
, pp. 212-240
-
-
Engler, H.1
Lenhart, S.M.2
-
17
-
-
84971110219
-
The perturbed test function method for viscosity solutions of nonlinear PDE
-
Evans L. C.: The perturbed test function method for viscosity solutions of nonlinear PDE. Proc. R. Soc. Edinburgh Sect. A 111(3-4), 359-375 (1989).
-
(1989)
Proc. R. Soc. Edinburgh Sect. A
, vol.111
, Issue.3-4
, pp. 359-375
-
-
Evans, L.C.1
-
18
-
-
84974059058
-
Periodic homogenisation of certain fully nonlinear partial differential equations
-
Evans L. C.: Periodic homogenisation of certain fully nonlinear partial differential equations. Proc. R. Soc. Edinburgh Sect. A 120(3-4), 245-265 (1992).
-
(1992)
Proc. R. Soc. Edinburgh Sect. A
, vol.120
, Issue.3-4
, pp. 245-265
-
-
Evans, L.C.1
-
19
-
-
0035589103
-
Effective Hamiltonians and averaging for Hamiltonian dynamics. I
-
Evans L. C., Gomes D.: Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Arch. Rational Mech. Anal. 157(1), 1-33 (2001).
-
(2001)
Arch. Rational Mech. Anal.
, vol.157
, Issue.1
, pp. 1-33
-
-
Evans, L.C.1
Gomes, D.2
-
21
-
-
39049171894
-
Controlled Markov processes and viscosity solutions
-
Springer, New York
-
Fleming, W. H., Soner, H. M.: Controlled Markov processes and viscosity solutions. In: Stochastic Modelling and Applied Probability, vol. 25. Springer, New York, 2006.
-
(2006)
Stochastic Modelling and Applied Probability
, vol.25
-
-
Fleming, W.H.1
Soner, H.M.2
-
22
-
-
0041471525
-
A stochastic analogue of Aubry-Mather theory
-
Gomes D.: A stochastic analogue of Aubry-Mather theory. Nonlinearity 15(3), 581-603 (2002).
-
(2002)
Nonlinearity
, vol.15
, Issue.3
, pp. 581-603
-
-
Gomes, D.1
-
23
-
-
0001648724
-
Homogenization of Hamilton-Jacobi equations on domains with small scale periodic structure
-
Horie K., Ishii H.: Homogenization of Hamilton-Jacobi equations on domains with small scale periodic structure. Indiana Univ. Math. J. 47(3), 1011-1058 (1998).
-
(1998)
Indiana Univ. Math. J.
, vol.47
, Issue.3
, pp. 1011-1058
-
-
Horie, K.1
Ishii, H.2
-
24
-
-
0001479913
-
A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations
-
Ishii H.: A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 16(1), 105-135 (1989).
-
(1989)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.16
, Issue.1
, pp. 105-135
-
-
Ishii, H.1
-
25
-
-
0010851810
-
Viscosity solutions for monotone systems of second-order elliptic PDEs
-
Ishii H., Koike S.: Viscosity solutions for monotone systems of second-order elliptic PDEs. Commun. Partial Differ. Equ. 16(6-7), 1095-1128 (1991).
-
(1991)
Commun. Partial Differ. Equ.
, vol.16
, Issue.6-7
, pp. 1095-1128
-
-
Ishii, H.1
Koike, S.2
-
26
-
-
0038107449
-
Asymptotic analysis for a class of infinite systems of first-order PDE: nonlinear parabolic PDE in the singular limit
-
Ishii H., Shimano K.: Asymptotic analysis for a class of infinite systems of first-order PDE: nonlinear parabolic PDE in the singular limit. Commun. Partial Differ. Equ. 28(1-2), 409-438 (2003).
-
(2003)
Commun. Partial Differ. Equ.
, vol.28
, Issue.1-2
, pp. 409-438
-
-
Ishii, H.1
Shimano, K.2
-
27
-
-
33748290005
-
Stochastic homogenization of Hamilton-Jacobi-Bellman equations
-
Kosygina E., Rezakhanlou F., Varadhan S. R. S.: Stochastic homogenization of Hamilton-Jacobi-Bellman equations. Commun. Pure Appl. Math. 59(10), 1489-1521 (2006).
-
(2006)
Commun. Pure Appl. Math.
, vol.59
, Issue.10
, pp. 1489-1521
-
-
Kosygina, E.1
Rezakhanlou, F.2
Varadhan, S.R.S.3
-
28
-
-
42349098279
-
Viscosity solutions associated with switching game for piecewise-deterministic processes
-
Lenhart S. M., Yamada N.: Viscosity solutions associated with switching game for piecewise-deterministic processes. Stochastics Stochastics Rep., 38(1), 27-47 (1992).
-
(1992)
Stochastics Stochastics Rep.
, vol.38
, Issue.1
, pp. 27-47
-
-
Lenhart, S.M.1
Yamada, N.2
-
30
-
-
0041357028
-
Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting
-
Lions P.-L., Souganidis P. E.: Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting. Commun. Pure Appl. Math. 56(10), 1501-1524 (2003).
-
(2003)
Commun. Pure Appl. Math.
, vol.56
, Issue.10
, pp. 1501-1524
-
-
Lions, P.-L.1
Souganidis, P.E.2
-
31
-
-
77954653820
-
Stochastic homogenization of Hamilton-Jacobi and "viscous" Hamilton-Jacobi equations with convex nonlinearities-revisited
-
Lions P.-L., Souganidis P. E.: Stochastic homogenization of Hamilton-Jacobi and "viscous" Hamilton-Jacobi equations with convex nonlinearities-revisited. Commun. Math. Sci. 8(2), 627-637 (2010).
-
(2010)
Commun. Math. Sci.
, vol.8
, Issue.2
, pp. 627-637
-
-
Lions, P.-L.1
Souganidis, P.E.2
-
32
-
-
84859476955
-
Remarks on the large time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton-Jacobi equations
-
Mitake H., Tran H. V.: Remarks on the large time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton-Jacobi equations. Asymptot. Anal. 77, 43-70 (2012).
-
(2012)
Asymptot. Anal.
, vol.77
, pp. 43-70
-
-
Mitake, H.1
Tran, H.V.2
-
33
-
-
0040786278
-
Homogenization for stochastic Hamilton-Jacobi equations
-
Rezakhanlou F., Tarver J. E.: Homogenization for stochastic Hamilton-Jacobi equations. Arch. Rational Mech. Anal. 151(4), 277-309 (2000).
-
(2000)
Arch. Rational Mech. Anal.
, vol.151
, Issue.4
, pp. 277-309
-
-
Rezakhanlou, F.1
Tarver, J.E.2
-
34
-
-
67449105856
-
Stochastic homogenization of Hamilton-Jacobi equations in stationary ergodic spatio-temporal media
-
Schwab R. W.: Stochastic homogenization of Hamilton-Jacobi equations in stationary ergodic spatio-temporal media. Indiana Univ. Math. J. 58(2), 537-581 (2009).
-
(2009)
Indiana Univ. Math. J.
, vol.58
, Issue.2
, pp. 537-581
-
-
Schwab, R.W.1
-
35
-
-
33744548399
-
Homogenization and penalization of functional first-order PDE
-
Shimano K.: Homogenization and penalization of functional first-order PDE. NoDEA Nonlinear Differ. Equ. Appl. 13(1), 1-21 (2006).
-
(2006)
NoDEA Nonlinear Differ. Equ. Appl.
, vol.13
, Issue.1
, pp. 1-21
-
-
Shimano, K.1
-
36
-
-
0009937623
-
Stochastic homogenization of Hamilton-Jacobi equations and some applications
-
Souganidis P. E.: Stochastic homogenization of Hamilton-Jacobi equations and some applications. Asymptot. Anal. 20(1), 1-11 (1999).
-
(1999)
Asymptot. Anal.
, vol.20
, Issue.1
, pp. 1-11
-
-
Souganidis, P.E.1
-
37
-
-
79956212103
-
Adjoint methods for static Hamilton-Jacobi equations
-
Tran H. V.: Adjoint methods for static Hamilton-Jacobi equations. Calc. Var. Partial Differ. Equ. 41(3-4), 301-319 (2011).
-
(2011)
Calc. Var. Partial Differ. Equ.
, vol.41
, Issue.3-4
, pp. 301-319
-
-
Tran, H.V.1
|