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Volumn 27, Issue 3, 2010, Pages 837-856

Ergodicity of Hamilton-Jacobi equations with a noncoercive nonconvex Hamiltonian in R2 / Z2

Author keywords

[No Author keywords available]

Indexed keywords

MECHANICS;

EID: 77951258172     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2009.11.015     Document Type: Article
Times cited : (32)

References (13)
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    • (2007) Ann. Internat. Soc. Dynam. Games , vol.9 , pp. 131-152
    • Alvarez, O.1    Bardi, M.2
  • 2
    • 67650726646 scopus 로고    scopus 로고
    • Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations
    • in press
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    • Mem. Amer. Math. Soc
    • Alvarez, O.1    Bardi, M.2
  • 3
    • 1642471469 scopus 로고    scopus 로고
    • Hamilton-Jacobi equations with partial gradient and application to homogenization
    • Alvarez O., and Ishii H. Hamilton-Jacobi equations with partial gradient and application to homogenization. Comm. Partial Differential Equations 26 5-6 (2001) 983-1002
    • (2001) Comm. Partial Differential Equations , vol.26 , Issue.5-6 , pp. 983-1002
    • Alvarez, O.1    Ishii, H.2
  • 5
    • 0033885874 scopus 로고    scopus 로고
    • The value function of singularly perturbed control systems
    • Artstein Z., and Gaitsgory V. The value function of singularly perturbed control systems. Appl. Math. Optim. 41 3 (2000) 425-445
    • (2000) Appl. Math. Optim. , vol.41 , Issue.3 , pp. 425-445
    • Artstein, Z.1    Gaitsgory, V.2
  • 6
    • 84865763498 scopus 로고    scopus 로고
    • On differential games with long-time-average cost
    • Advances in Dynamic Games and Their Applications, Birkhäuser Boston, Boston, MA
    • Bardi M. On differential games with long-time-average cost. Advances in Dynamic Games and Their Applications. Ann. Internat. Soc. Dynam. Games vol. 10 (2009), Birkhäuser Boston, Boston, MA 3-18
    • (2009) Ann. Internat. Soc. Dynam. Games , vol.10 , pp. 3-18
    • Bardi, M.1
  • 7
    • 34548073020 scopus 로고    scopus 로고
    • Some homogenization results for non-coercive Hamilton-Jacobi equations
    • Barles G. Some homogenization results for non-coercive Hamilton-Jacobi equations. Calc. Var. Partial Differential Equations 30 4 (2007) 449-466
    • (2007) Calc. Var. Partial Differential Equations , vol.30 , Issue.4 , pp. 449-466
    • Barles, G.1
  • 8
    • 33947106392 scopus 로고    scopus 로고
    • Homogenization of Hamilton-Jacobi equations in the Heisenberg group
    • Birindelli I., and Wigniolle J. Homogenization of Hamilton-Jacobi equations in the Heisenberg group. Commun. Pure Appl. Anal. 2 4 (2003) 461-479
    • (2003) Commun. Pure Appl. Anal. , vol.2 , Issue.4 , pp. 461-479
    • Birindelli, I.1    Wigniolle, J.2
  • 9
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • Crandall M.G., Ishii H., and Lions P.-L. User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27 (1992) 1-67
    • (1992) Bull. Amer. Math. Soc. (N.S.) , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 10
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    • Hamilton-Jacobi methods for vakonomic mechanics
    • Gomes D.A. Hamilton-Jacobi methods for vakonomic mechanics. NoDEA Nonlinear Differential Equations Appl. 14 3-4 (2007) 233-257
    • (2007) NoDEA Nonlinear Differential Equations Appl. , vol.14 , Issue.3-4 , pp. 233-257
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  • 11
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    • Homogenization of first-order equations with u / ε-periodic Hamiltonians. Part I: Local equations
    • Imbert C., and Monneau M. Homogenization of first-order equations with u / ε-periodic Hamiltonians. Part I: Local equations. Arch. Ration. Mech. Anal. 187 1 (2008) 49-89
    • (2008) Arch. Ration. Mech. Anal. , vol.187 , Issue.1 , pp. 49-89
    • Imbert, C.1    Monneau, M.2
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    • Homogenization of Hamilton-Jacobi equations
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