메뉴 건너뛰기




Volumn 56, Issue 10, 2003, Pages 1501-1524

Correctors for the Homogenization of Hamilton-Jacobi Equations in the Stationary Ergodic Setting

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0041357028     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.10101     Document Type: Article
Times cited : (103)

References (33)
  • 1
    • 0036338482 scopus 로고    scopus 로고
    • 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. 40 (2001/02), no. 4, 1159-1188.
    • (2001) SIAM J. Control Optim. , vol.40 , Issue.4 , pp. 1159-1188
    • Alvarez, O.1    Bardi, M.2
  • 4
    • 0003267441 scopus 로고
    • Solutions de viscosité des équations de Hamilton-Jacobi
    • Springer, Paris
    • Barles, G. Solutions de viscosité des équations de Hamilton-Jacobi. Mathématiques et Applications, 17. Springer, Paris, 1994.
    • (1994) Mathématiques et Applications , vol.17
    • Barles, G.1
  • 5
    • 0032386084 scopus 로고    scopus 로고
    • A new approach to front propagation problems: Theory and applications
    • Barles, G.; Souganidis, P. E. A new approach to front propagation problems: theory and applications. Arch. Rational Mech. Anal. 141 (1998), no. 3, 237-296.
    • (1998) Arch. Rational Mech. Anal. , vol.141 , Issue.3 , pp. 237-296
    • Barles, G.1    Souganidis, P.E.2
  • 6
    • 0034347336 scopus 로고    scopus 로고
    • On the large time behavior of solutions of Hamilton-Jacobi equations
    • Barles, G.; Souganidis, P. E. On the large time behavior of solutions of Hamilton-Jacobi equations. SIAM J. Math. Anal. 31 (2000), no. 4, 925-939.
    • (2000) SIAM J. Math. Anal. , vol.31 , Issue.4 , pp. 925-939
    • Barles, G.1    Souganidis, P.E.2
  • 7
    • 0034196327 scopus 로고    scopus 로고
    • 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
  • 8
    • 2442624446 scopus 로고
    • Controlled diffusions in a random medium
    • Bensoussan, A.; Blankenship, G. Controlled diffusions in a random medium. Stochastics 24 (1988), no. 2, 87-120.
    • (1988) Stochastics , vol.24 , Issue.2 , pp. 87-120
    • Bensoussan, A.1    Blankenship, G.2
  • 11
    • 2442456636 scopus 로고    scopus 로고
    • Personal communication
    • Crandall, M. G. Personal communication.
    • Crandall, M.G.1
  • 12
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • Crandall, M. G.; Ishii, H.; Lions, P.-L. User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 1, 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
  • 13
    • 0002521237 scopus 로고
    • Nonlinear stochastic homogenization and ergodic theory
    • Dal Maso, G.; Modica, L. Nonlinear stochastic homogenization and ergodic theory. J. Reine Angew. Math. 368 (1986), 28-42.
    • (1986) J. Reine Angew. Math. , vol.368 , pp. 28-42
    • Dal Maso, G.1    Modica, L.2
  • 14
    • 84971110219 scopus 로고
    • 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. Roy. Soc. Edinburgh Sect. A 111 (1989), no. 3-4, 359-375.
    • (1989) Proc. Roy. Soc. Edinburgh Sect. A , vol.111 , Issue.3-4 , pp. 359-375
    • Evans, L.C.1
  • 15
    • 84974059058 scopus 로고
    • 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
  • 16
    • 0035589103 scopus 로고    scopus 로고
    • 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
  • 17
    • 0036525374 scopus 로고    scopus 로고
    • 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
  • 18
    • 0001562857 scopus 로고    scopus 로고
    • E. W. Aubry-Mather 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
  • 19
    • 0032138156 scopus 로고    scopus 로고
    • 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
  • 20
    • 0037675095 scopus 로고    scopus 로고
    • 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
  • 23
    • 0000270202 scopus 로고    scopus 로고
    • Homogenization of the Cauchy problem for Hamilton-Jacobi equations
    • Systems and Control Foundations and Applications. Birkhäuser, Boston
    • Ishii, H. Homogenization of the Cauchy problem for Hamilton-Jacobi equations. Stochastic analysis, control, optimization and applications, 305-324. Systems and Control Foundations and Applications. Birkhäuser, Boston, 1999.
    • (1999) Stochastic Analysis, Control, Optimization and Applications , pp. 305-324
    • Ishii, H.1
  • 24
    • 0002902088 scopus 로고
    • The method of averaging and walks in inhomogeneous environments
    • Kozlov, S. M. The method of averaging and walks in inhomogeneous environments. Russian Math. Surveys 40 (1985), 73-145.
    • (1985) Russian Math. Surveys , vol.40 , pp. 73-145
    • Kozlov, S.M.1
  • 28
    • 0002558785 scopus 로고
    • 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
  • 29
    • 51649154248 scopus 로고
    • 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
  • 30
    • 0001689286 scopus 로고
    • Boundary value problems with rapidly oscillating random coefficients
    • Colloquia Mathematica Societatis Janos Bolyai, 27. J. Fritz, J. L. Lebowitz, and D. Szasz, eds. North Holland, Amsterdam-New York
    • Papanicolaou, G.; Varadhan, S. R. S. Boundary value problems with rapidly oscillating random coefficients. Random fields. Rigorous results in statistical mechanics and quantum field theory, 835-873. Colloquia Mathematica Societatis Janos Bolyai, 27. J. Fritz, J. L. Lebowitz, and D. Szasz, eds. North Holland, Amsterdam-New York, 1981.
    • (1981) Random Fields. Rigorous Results in Statistical Mechanics and Quantum Field Theory , pp. 835-873
    • Papanicolaou, G.1    Varadhan, S.R.S.2
  • 31
    • 0040786278 scopus 로고    scopus 로고
    • Homogenization for stochastic Hamilton-Jacobi equations
    • Rezakhanlou, F.; Tarver, J. E. Homogenization for stochastic Hamilton-Jacobi equations. Arch. Ration. Mech. Anal. 151 (2000), no. 4, 277-309.
    • (2000) Arch. Ration. Mech. Anal. , vol.151 , Issue.4 , pp. 277-309
    • Rezakhanlou, F.1    Tarver, J.E.2
  • 32
    • 0035216389 scopus 로고    scopus 로고
    • Convergence to steady states or periodic solutions in a class of Hamilton-Jacobi equations
    • Roquejoffre, J.-M. Convergence to steady states or periodic solutions in a class of Hamilton-Jacobi equations. J. Math. Pures Appl. (9) 80 (2001), no. 1, 85-104.
    • (2001) J. Math. Pures Appl. (9) , vol.80 , Issue.1 , pp. 85-104
    • Roquejoffre, J.-M.1
  • 33
    • 0009937623 scopus 로고    scopus 로고
    • Stochastic homogenization of Hamilton-Jacobi equations and some applications
    • Souganidis, P. E. Stochastic homogenization of Hamilton-Jacobi equations and some applications. Asymptot. Anal. 20 (1999), no. 1, 1-11.
    • (1999) Asymptot. Anal. , vol.20 , Issue.1 , pp. 1-11
    • Souganidis, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.