-
1
-
-
0242370970
-
A general convergence result of singular perturbations of fully nonlinear degenerate parabolic PDEs
-
Alvarez, O.; Bardi, M. A general convergence result of singular perturbations of fully nonlinear degenerate parabolic PDEs. Arch. Ration. Mech. Anal. 170 (2003), 17-61.
-
(2003)
Arch. Ration. Mech. Anal.
, vol.170
, pp. 17-61
-
-
Alvarez, O.1
Bardi, M.2
-
2
-
-
0842272594
-
Gibbs measures on path space and viscous approximation to action-minimizing measures
-
to appear
-
Anantharaman, N. Gibbs measures on path space and viscous approximation to action-minimizing measures. Trans. Amer. Math. Soc. (2003), to appear.
-
(2003)
Trans. Amer. Math. Soc.
-
-
Anantharaman, N.1
-
3
-
-
4544260705
-
Theory and applications
-
Wiley-Interscience Series in Discrete Mathematics and Optimization. Wiley, Chichester
-
Anderson, E. J.; Nash, P. Linear programming in infinite-dimensional spaces. Theory and applications. Wiley-Interscience Series in Discrete Mathematics and Optimization. Wiley, Chichester, 1987.
-
(1987)
Linear Programming in Infinite-dimensional Spaces
-
-
Anderson, E.J.1
Nash, P.2
-
4
-
-
0003318097
-
Mathematical aspects of classical and celestial mechanics
-
Encyclopaedia of Mathematical Sciences, 3. Springer, Berlin
-
Arnol'd, V. I.; Kozlov, V. V.; Neǐshtadt, A. I. Mathematical aspects of classical and celestial mechanics. Dynamical systems, vii-xiv, 1-291. Encyclopaedia of Mathematical Sciences, 3. Springer, Berlin, 1988.
-
(1988)
Dynamical Systems
, vol.7-14
, pp. 1-291
-
-
Arnol'd, V.I.1
Kozlov, V.V.2
Neǐshtadt, A.I.3
-
5
-
-
34548328319
-
The twist map, the extended Frenkel-Kontorova model and the devil's staircase. Order in chaos (Los Alamos, N.M., 1982)
-
Aubry, S. The twist map, the extended Frenkel-Kontorova model and the devil's staircase. Order in chaos (Los Alamos, N.M., 1982). Phys. D 7 (1983), no. 1-3, 240-258.
-
(1983)
Phys. D
, vol.7
, Issue.1-3
, pp. 240-258
-
-
Aubry, S.1
-
6
-
-
0034196327
-
Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations
-
Barles, G.; Souganidis, P. E. Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations. C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 11, 963-968.
-
(2000)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.330
, Issue.11
, pp. 963-968
-
-
Barles, G.1
Souganidis, P.E.2
-
7
-
-
0038379256
-
∞
-
NATO Science Series C: Mathematical and Physical Sciences, 528. Kluwer, Dordrecht
-
∞. Nonlinear analysis, differential equations and control (Montreal, QC, 1998), 1-60. NATO Science Series C: Mathematical and Physical Sciences, 528. Kluwer, Dordrecht, 1999.
-
(1999)
Nonlinear Analysis, Differential Equations and Control (Montreal, QC, 1998)
, pp. 1-60
-
-
Barron, E.N.1
-
8
-
-
0003529370
-
-
Studies in Mathematics and Its Applications, 5. North-Holland, Amsterdam-New York
-
Bensoussan, A.; Lions, J.-L.; Papanicolaou, G. Asymptotic analysis for periodic structures. Studies in Mathematics and Its Applications, 5. North-Holland, Amsterdam-New York, 1978.
-
(1978)
Asymptotic Analysis for Periodic Structures
-
-
Bensoussan, A.1
Lions, J.-L.2
Papanicolaou, G.3
-
11
-
-
0036339156
-
Homogenization of a neutronic critical diffusion problem with drift
-
Capdeboscq, Y. Homogenization of a neutronic critical diffusion problem with drift. Proc. Roy. Soc. Edinburgh Sect. A 132 (2002), no. 3, 567-594.
-
(2002)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.132
, Issue.3
, pp. 567-594
-
-
Capdeboscq, Y.1
-
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 (1996), no. 4, 1095-1117.
-
(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. Roy. Soc. Edinburgh Sect. A 127 (1997), no. 4, 665-689.
-
(1997)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.127
, Issue.4
, pp. 665-689
-
-
Concordel, M.C.1
-
15
-
-
17744362855
-
Integrable hamiltonian systems
-
Lectures in Applied Mathematics, 31. American Mathematical Society, Providence, R.I.
-
Deift, P. Integrable Hamiltonian systems. Dynamical systems and probabilistic methods in partial differential equations (Berkeley, CA, 1994), 103-138. Lectures in Applied Mathematics, 31. American Mathematical Society, Providence, R.I., 1996.
-
(1996)
Dynamical Systems and Probabilistic Methods in Partial Differential Equations (Berkeley, CA, 1994)
, pp. 103-138
-
-
Deift, P.1
-
16
-
-
0001562857
-
Theory and periodic solutions of the forced Burgers equation
-
E. W. Aubry-Mather theory and periodic solutions of the forced Burgers equation. Comm. Pure Appl. Math. 52 (1999), no. 7, 811-828.
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, Issue.7
, pp. 811-828
-
-
Aubry-Mather, E.W.1
-
17
-
-
84974059058
-
Periodic homogenisation of certain fully nonlinear partial differential equations
-
Evans, L. C. Periodic homogenisation of certain fully nonlinear partial differential equations. Proc. Roy. Soc. Edinburgh Sect. A 120 (1992), no. 3-4, 245-265.
-
(1992)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.120
, Issue.3-4
, pp. 245-265
-
-
Evans, L.C.1
-
18
-
-
0141604510
-
Effective Hamiltonians and quantum states
-
Exp. No. XXII. Séminaire: Équations aux Dérivées Partielles, École Polytechnique, Palaiseau
-
Evans, L. C. Effective Hamiltonians and quantum states. Séminaire: Équations aux Dérivées Partielles, 2000-2001, Exp. No. XXII. Séminaire: Équations aux Dérivées Partielles, École Polytechnique, Palaiseau, 2001.
-
(2001)
Séminaire: Équations aux Dérivées Partielles, 2000-2001
-
-
Evans, L.C.1
-
19
-
-
0038236508
-
Some new PDE methods for weak KAM theory
-
Evans, L. C. Some new PDE methods for weak KAM theory. Calc. Var. Partial Differential Equations 17 (2003), no. 2, 159-177.
-
(2003)
Calc. Var. Partial Differential Equations
, vol.17
, Issue.2
, pp. 159-177
-
-
Evans, L.C.1
-
20
-
-
0842281980
-
Towards a quantum analog of weak KAM theory
-
to appear
-
Evans, L. C. Towards a quantum analog of weak KAM theory. Comm. Math Phys., to appear.
-
Comm. Math Phys.
-
-
Evans, L.C.1
-
21
-
-
0035589103
-
Effective Hamiltonians and averaging for Hamiltonian dynamics. I
-
Evans, L. C.; Gomes, D. Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Arch. Ration. Mech. Anal. 157 (2001), no. 1, 1-33.
-
(2001)
Arch. Ration. Mech. Anal.
, vol.157
, Issue.1
, pp. 1-33
-
-
Evans, L.C.1
Gomes, D.2
-
22
-
-
0036525374
-
Effective Hamiltonians and averaging for Hamiltonian dynamics. II
-
Evans, L. C.; Gomes, D. Effective Hamiltonians and averaging for Hamiltonian dynamics. II. Arch. Ration. Mech. Anal. 161 (2002), no. 4, 271-305.
-
(2002)
Arch. Ration. Mech. Anal.
, vol.161
, Issue.4
, pp. 271-305
-
-
Evans, L.C.1
Gomes, D.2
-
23
-
-
2442648253
-
Linear programming interpretations of Mather's variational principle. A tribute to J. L. Lions
-
Evans, L. C.; Gomes, D. Linear programming interpretations of Mather's variational principle. A tribute to J. L. Lions. ESAIM Control Optim. Calc. Var. 8 (2002), 693-702.
-
(2002)
ESAIM Control Optim. Calc. Var.
, vol.8
, pp. 693-702
-
-
Evans, L.C.1
Gomes, D.2
-
24
-
-
0031138612
-
Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
-
Fathi, A. Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens. C. R. Acad. Sci. Paris Sér. I Math. 324 (1997), no. 9, 1043-1046.
-
(1997)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.324
, Issue.9
, pp. 1043-1046
-
-
Fathi, A.1
-
25
-
-
0031231828
-
Solutions KAM faibles conjuguées et barrières de Peierls
-
Fathi, A. Solutions KAM faibles conjuguées et barrières de Peierls. C. R. Acad. Sci. Paris Sér. I Math. 325 (1997), no. 6, 649-652.
-
(1997)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.325
, Issue.6
, pp. 649-652
-
-
Fathi, A.1
-
26
-
-
0032066486
-
Orbites hétéroclines et ensemble de Peierls
-
Fathi, A. Orbites hétéroclines et ensemble de Peierls. C. R. Acad. Sci. Paris Sér. I Math. 326 (1998), no. 10, 1213-1216.
-
(1998)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.326
, Issue.10
, pp. 1213-1216
-
-
Fathi, A.1
-
27
-
-
0032138156
-
Sur la convergence du semi-groupe de Lax-Oleinik
-
Fathi, A. Sur la convergence du semi-groupe de Lax-Oleinik. C. R. Acad. Sci. Paris Sér. I Math. 327 (1998), no. 3, 267-270.
-
(1998)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.327
, Issue.3
, pp. 267-270
-
-
Fathi, A.1
-
30
-
-
0037675095
-
Failure of convergence of the Lax-Oleinik semi-group in the time-periodic case
-
Fathi, A.; Mather, J. N. Failure of convergence of the Lax-Oleinik semi-group in the time-periodic case. Bull. Soc. Math. France 128 (2000), no. 3, 473-483.
-
(2000)
Bull. Soc. Math. France
, vol.128
, Issue.3
, pp. 473-483
-
-
Fathi, A.1
Mather, J.N.2
-
31
-
-
85087239473
-
1 critical subsolutions of the Hamilton-Jacobi equation
-
to appear
-
1 critical subsolutions of the Hamilton-Jacobi equation Invent. Math., to appear.
-
Invent. Math.
-
-
Fathi, A.1
Siconolfi, A.2
-
33
-
-
0003437218
-
-
Addison-Wesley Series in Physics. Addison-Wesley, Reading, Mass.
-
Goldstein, H. Classical mechanics. 2nd ed. Addison-Wesley Series in Physics. Addison-Wesley, Reading, Mass., 1980.
-
(1980)
Classical Mechanics. 2nd Ed.
-
-
Goldstein, H.1
-
35
-
-
0036556944
-
Viscosity solutions of Hamilton-Jacobi equations, and asymptotics for Hamiltonian systems
-
Gomes, D. A. Viscosity solutions of Hamilton-Jacobi equations, and asymptotics for Hamiltonian systems. Calc. Var. Partial Differential Equations 14 (2002), no. 3, 345-357.
-
(2002)
Calc. Var. Partial Differential Equations
, vol.14
, Issue.3
, pp. 345-357
-
-
Gomes, D.A.1
-
36
-
-
0041471525
-
A stochastic analogue of Aubry-Mather theory
-
Gomes, D. A. A stochastic analogue of Aubry-Mather theory. Nonlinearity 15 (2002), no. 3, 581-603.
-
(2002)
Nonlinearity
, vol.15
, Issue.3
, pp. 581-603
-
-
Gomes, D.A.1
-
37
-
-
0037455199
-
Regularity theory for Hamilton-Jacobi equations
-
Gomes, D. A. Regularity theory for Hamilton-Jacobi equations. J. Differential Equations 187 (2003), no. 2, 359-374.
-
(2003)
J. Differential Equations
, vol.187
, Issue.2
, pp. 359-374
-
-
Gomes, D.A.1
-
38
-
-
2442698206
-
Perturbation theory for Hamilton-Jacobi equations and stability of Aubry-Mather sets
-
to appear
-
Gomes, D. A. Perturbation theory for Hamilton-Jacobi equations and stability of Aubry-Mather sets. SIAM J. Math. Anal., to appear.
-
SIAM J. Math. Anal.
-
-
Gomes, D.A.1
-
41
-
-
0001019785
-
Quantization of dynamical systems and stochastic control theory
-
Guerra, F.; Morato, L. M. Quantization of dynamical systems and stochastic control theory. Phys. Rev. D (3) 27 (1983), no. 8, 1774-1786.
-
(1983)
Phys. Rev. D (3)
, vol.27
, Issue.8
, pp. 1774-1786
-
-
Guerra, F.1
Morato, L.M.2
-
42
-
-
0000186055
-
On the forced Burgers equation with periodic boundary conditions
-
Proc. Sympos. Pure Math., 65. American Mathematical Society, Providence, R.I.
-
Jauslin, H. R.; Kreiss, H. O.; Moser, J. On the forced Burgers equation with periodic boundary conditions. Differential equations: La Pietra 1996 (Florence), 133-153. Proc. Sympos. Pure Math., 65. American Mathematical Society, Providence, R.I., 1999.
-
(1999)
Differential Equations: La Pietra 1996 (Florence)
, pp. 133-153
-
-
Jauslin, H.R.1
Kreiss, H.O.2
Moser, J.3
-
43
-
-
0141869069
-
Computing the effective Hamiltonian in the Majda-Souganidis model of turbulent premixed flames
-
Khouider, B.; Bourlioux, A. Computing the effective Hamiltonian in the Majda-Souganidis model of turbulent premixed flames. SIAM J. Numer. Anal. 40 (2002), no. 4, 1330-1353.
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, Issue.4
, pp. 1330-1353
-
-
Khouider, B.1
Bourlioux, A.2
-
44
-
-
0004255864
-
-
Pure and Applied Mathematics. Wiley, New York
-
Lax, P. Linear algebra. Pure and Applied Mathematics. Wiley, New York, 1997.
-
(1997)
Linear Algebra
-
-
Lax, P.1
-
46
-
-
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. Comm. Pure Appl. Math. 56 (2003), no. 10, 1501-1524.
-
(2003)
Comm. Pure Appl. Math.
, vol.56
, Issue.10
, pp. 1501-1524
-
-
Lions, P.-L.1
Souganidis, P.E.2
-
47
-
-
0002558785
-
Large-scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales
-
Majda, A. J.; Souganidis, P. E. Large-scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Nonlinearity 7 (1994), no. 1, 1-30.
-
(1994)
Nonlinearity
, vol.7
, Issue.1
, pp. 1-30
-
-
Majda, A.J.1
Souganidis, P.E.2
-
48
-
-
0003825098
-
-
18 Coloquio Bras. de Mat. Instituto de Matemática Pura e Aplicada, Rio de Janeiro
-
Mañé, R. Global variational methods in conservative dynamics. 18 Coloquio Bras. de Mat. Instituto de Matemática Pura e Aplicada, Rio de Janeiro, 1991.
-
(1991)
Global Variational Methods in Conservative Dynamics
-
-
Mañé, R.1
-
49
-
-
0013128343
-
On the minimizing measures of Lagrangian dynamical systems
-
Mañé, R. On the minimizing measures of Lagrangian dynamical systems. Nonlinearity 5 (1992), no. 3, 623-638.
-
(1992)
Nonlinearity
, vol.5
, Issue.3
, pp. 623-638
-
-
Mañé, R.1
-
50
-
-
0000514824
-
Generic properties and problems of minimizing measures of Lagrangian systems
-
Mañé, R. Generic properties and problems of minimizing measures of Lagrangian systems. Nonlinearity 9 (1996), no. 2, 273-310.
-
(1996)
Nonlinearity
, vol.9
, Issue.2
, pp. 273-310
-
-
Mañé, R.1
-
51
-
-
51249174145
-
Minimal measures
-
Mather, J. N. Minimal measures. Comment. Math. Helv. 64 (1989), no. 3, 375-394.
-
(1989)
Comment. Math. Helv.
, vol.64
, Issue.3
, pp. 375-394
-
-
Mather, J.N.1
-
52
-
-
0001997021
-
Differentiability of the minimal average action as a function of the rotation number
-
Mather, J. N. Differentiability of the minimal average action as a function of the rotation number. Bol. Soc. Brasil. Mat. (N.S.) 21 (1990), no. 1, 59-70.
-
(1990)
Bol. Soc. Brasil. Mat. (N.S.)
, vol.21
, Issue.1
, pp. 59-70
-
-
Mather, J.N.1
-
53
-
-
51649154248
-
Action minimizing invariant measures for positive definite Lagrangian systems
-
Mather, J. N. Action minimizing invariant measures for positive definite Lagrangian systems. Math. Z. 207 (1991), no. 2, 169-207.
-
(1991)
Math. Z.
, vol.207
, Issue.2
, pp. 169-207
-
-
Mather, J.N.1
-
54
-
-
0000919869
-
Variational construction of connecting orbits
-
Mather, J. N. Variational construction of connecting orbits. Ann. Inst. Fourier (Grenoble) 43 (1993), no. 5, 1349-1386.
-
(1993)
Ann. Inst. Fourier (Grenoble)
, vol.43
, Issue.5
, pp. 1349-1386
-
-
Mather, J.N.1
-
55
-
-
0002818813
-
Action minimizing orbits in Hamiltonian systems
-
Lecture Notes in Mathematics, 1589. Springer, Berlin
-
Mather, J. N.; Forni, G. Action minimizing orbits in Hamiltonian systems. Transition to chaos in classical and quantum mechanics (Montecatini Terme, 1991), 92-186. Lecture Notes in Mathematics, 1589. Springer, Berlin, 1994.
-
(1994)
Transition to Chaos in Classical and Quantum Mechanics (Montecatini Terme, 1991)
, pp. 92-186
-
-
Mather, J.N.1
Forni, G.2
-
56
-
-
0004266655
-
-
Princeton Series in Physics. Princeton University Press, Princeton, N.J.
-
Nelson, E. Quantum fluctuations. Princeton Series in Physics. Princeton University Press, Princeton, N.J., 1985.
-
(1985)
Quantum Fluctuations
-
-
Nelson, E.1
|