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Volumn 31, Issue 8, 2006, Pages 1209-1225

Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi equations

Author keywords

Ergodic problems; Geodesics; Hamilton Jacobi Equations; Large time behavior; Unbounded solutions

Indexed keywords


EID: 33746839663     PISSN: 03605302     EISSN: 15324133     Source Type: Journal    
DOI: 10.1080/03605300500361461     Document Type: Article
Times cited : (42)

References (21)
  • 1
    • 0001286075 scopus 로고    scopus 로고
    • Ergodic problem for the Hamilton-Jacobi-Bellman equation. I. Existence of the ergodic attractor
    • Arisawa, M. (1997). Ergodic problem for the Hamilton-Jacobi-Bellman equation. I. Existence of the ergodic attractor. Ann. Inst. Henri Poincaré, Anal. Non Linéaire 14:415-438.
    • (1997) Ann. Inst. Henri Poincaré, Anal. Non Linéaire , vol.14 , pp. 415-438
    • Arisawa, M.1
  • 2
  • 3
    • 0000378860 scopus 로고
    • Asymptotic behaviour of viscosity solutions of first-order Hamilton-Jacobi equations
    • Barles, G. (1985). Asymptotic behaviour of viscosity solutions of first-order Hamilton-Jacobi equations. Ricerche di Matematica XXXIV 227-260.
    • (1985) Ricerche di Matematica , vol.34 , pp. 227-260
    • Barles, G.1
  • 4
    • 84875454022 scopus 로고
    • An approach of deterministic control problems with unbounded data
    • Barles, G. (1990). An approach of deterministic control problems with unbounded data. Annales de l'IHP Analyse Non Linéaire 7:235-258.
    • (1990) Annales de l'IHP Analyse Non Linéaire , vol.7 , pp. 235-258
    • Barles, G.1
  • 6
    • 0034347336 scopus 로고    scopus 로고
    • On the large time behaviour of solutions of Hamilton-Jacobi equations
    • Barles, G., Souganidis, P. E. (2000a). On the large time behaviour of solutions of Hamilton-Jacobi equations. SIAM J. Math. Anal. 31(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 behaviour of the solutions of Hamilton-Jacobi equations
    • Barles, G., Souganidis, P. E. (2000b). Some counterexamples on the asymptotic behaviour of the solutions of Hamilton-Jacobi equations. C. R. Acad. Sci. Paris Sér. 1330(11):963-968.
    • (2000) C. R. Acad. Sci. Paris Sér. , vol.1330 , Issue.11 , pp. 963-968
    • Barles, G.1    Souganidis, P.E.2
  • 8
    • 1842683105 scopus 로고    scopus 로고
    • Convergence to time-periodic solutions in time-periodic Hamilton-Jacobi equations on the circle
    • Bernard, P., Roquejoffre, J.-M. (2004). Convergence to time-periodic solutions in time-periodic Hamilton-Jacobi equations on the circle. Comm. Partial Diff. Eq. 29:457-469.
    • (2004) Comm. Partial Diff. Eq. , vol.29 , pp. 457-469
    • Bernard, P.1    Roquejoffre, J.-M.2
  • 9
    • 0346277967 scopus 로고    scopus 로고
    • Action potential and weak KAM solutions
    • Contreras, G. (2001). Action potential and weak KAM solutions. Calc. Var. Partial Diff. Eqns. 13:427-458.
    • (2001) Calc. Var. Partial Diff. Eqns. , vol.13 , pp. 427-458
    • Contreras, G.1
  • 10
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • Crandall, M. G., Ishii, H., Lions, P.-L. (1992). User's guide to viscosity solutions of second order partial differential equations. Bull. AMS 27:1-67.
    • (1992) Bull. AMS , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 11
    • 0036383354 scopus 로고    scopus 로고
    • Strong comparison results for quasilinear equations in annular domains and applications
    • Da Lio, F. (2002). Strong comparison results for quasilinear equations in annular domains and applications. Comm. Partial Diff. Eq. 27:283-323.
    • (2002) Comm. Partial Diff. Eq. , vol.27 , pp. 283-323
    • Da Lio, F.1
  • 12
    • 0032138156 scopus 로고    scopus 로고
    • Sur la convergence du semi-groupe de Lax-Oleinik
    • Fathi, A. (1998). Sur la convergence du semi-groupe de Lax-Oleinik. C. R. Acad. Sci. Paris Sér. I Math. 327(3):267-270.
    • (1998) C. R. Acad. Sci. Paris Sér. I Math. , vol.327 , Issue.3 , pp. 267-270
    • Fathi, A.1
  • 13
    • 0037675095 scopus 로고    scopus 로고
    • Failure of convergence of the Lax-Oleinik semi-group in the time-periodic case
    • Fathi, A., Mather, J. N. (2000). Failure of convergence of the Lax-Oleinik semi-group in the time-periodic case. Bull. Soc. Math. France 128(3):473-483.
    • (2000) Bull. Soc. Math. France , vol.128 , Issue.3 , pp. 473-483
    • Fathi, A.1    Mather, J.N.2
  • 14
    • 33746783508 scopus 로고    scopus 로고
    • Weak KAM theorem on non compact manifolds
    • To appear
    • Fathi, A., Maderna, E. (2000). Weak KAM theorem on non compact manifolds. To appear in NoDEA.
    • (2000) NoDEA
    • Fathi, A.1    Maderna, E.2
  • 15
    • 84972566521 scopus 로고
    • Perron' s method for Hamilton-Jacobi equations
    • Ishii, H. (1987). Perron' s method for Hamilton-Jacobi equations. Duke Math. J. 55:369-384.
    • (1987) Duke Math. J. , vol.55 , pp. 369-384
    • Ishii, H.1
  • 16
    • 3042693069 scopus 로고    scopus 로고
    • International Conference on Differential Equations. (Berlin, 1999). River Edge, NJ: World Sci. Publishing
    • Ishii, H. (2000). Almost Periodic Homogenization of Hamilton-Jacobi Equations. International Conference on Differential Equations. (Berlin, 1999). Vol. 1, 2. River Edge, NJ: World Sci. Publishing, pp. 600-605.
    • (2000) Almost Periodic Homogenization of Hamilton-Jacobi Equations , vol.1-2 , pp. 600-605
    • Ishii, H.1
  • 18
    • 0041357028 scopus 로고    scopus 로고
    • Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting
    • Lions, P.-L., Souganidis, P. E. (2003). Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting. Comm. Pure Appl. Math. 56:1501-1524.
    • (2003) Comm. Pure Appl. Math. , vol.56 , pp. 1501-1524
    • Lions, P.-L.1    Souganidis, P.E.2
  • 20
    • 0033475055 scopus 로고    scopus 로고
    • Remarks on the long time behaviour of the solutions of Hamilton-Jacobi equations
    • Namah, G., Roquejoffre, J.-M. (1999). Remarks on the long time behaviour of the solutions of Hamilton-Jacobi equations. Comm. Partial Diff. Eq. 24:883-893.
    • (1999) Comm. Partial Diff. Eq. , vol.24 , pp. 883-893
    • Namah, G.1    Roquejoffre, J.-M.2
  • 21
    • 0035216389 scopus 로고    scopus 로고
    • Convergence to steady states or periodic solutions in a class of Hamilton-Jacobi equations
    • Roquejoffre, J.-M. (2001). Convergence to steady states or periodic solutions in a class of Hamilton-Jacobi equations. J. Math. Pures Appl. 80:85-104.
    • (2001) J. Math. Pures Appl. , vol.80 , pp. 85-104
    • Roquejoffre, J.-M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.