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Volumn 39, Issue 1, 2010, Pages 213-232

Continuity of optimal control costs and its application to weak KAM theory

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EID: 77954423345     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-010-0308-4     Document Type: Article
Times cited : (12)

References (15)
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    • 33845497931 scopus 로고    scopus 로고
    • Optimal mass transportation and Mather theory
    • Bernard P., Buffoni B.: Optimal mass transportation and Mather theory. J. Eur. Math. Soc. 9(1), 85-121 (2007).
    • (2007) J. Eur. Math. Soc. , vol.9 , Issue.1 , pp. 85-121
    • Bernard, P.1    Buffoni, B.2
  • 3
    • 77954424644 scopus 로고    scopus 로고
    • Bernard, P., Buffoni, B.: Weak KAM pairs and Monge-Kantorovich duality. Asymptotic analysis and singularities-elliptic and parabolic PDEs and related problems. Adv. Stud. Pure Math., 47-2, pp. 397-420. Mathematical Society of Japan, Tokyo (2007).
  • 4
    • 8744292709 scopus 로고
    • Controllabilité Bang-Bang, controllabilité différentiable, et perturbation des systèmes nonlinéaires
    • Brunovský P., Lobry C.: Controllabilité Bang-Bang, controllabilité différentiable, et perturbation des systèmes nonlinéaires. Ann. Mat. Pura Appl. 105, 93-119 (1975).
    • (1975) Ann. Mat. Pura Appl. , vol.105 , pp. 93-119
    • Brunovský, P.1    Lobry, C.2
  • 5
    • 46649101321 scopus 로고    scopus 로고
    • Semiconcavity results for optimal control problems admitting no singular minimizing controls
    • Cannarsa P., Rifford L.: Semiconcavity results for optimal control problems admitting no singular minimizing controls. Ann. Inst. H. Poincaré Anal. Non Linéaire 25(4), 773-802 (2008).
    • (2008) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.25 , Issue.4 , pp. 773-802
    • Cannarsa, P.1    Rifford, L.2
  • 8
    • 0031138612 scopus 로고    scopus 로고
    • Théor̀me KAM faible et theéorie de Mather sur les systèmes lagrangiens
    • Fathi A.: Théor̀me KAM faible et theéorie de Mather sur les systèmes lagrangiens. C. R. Acad. Sci. Paris Sér. I Math. 324(9), 1043-1046 (1997).
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.324 , Issue.9 , pp. 1043-1046
    • Fathi, A.1
  • 9
    • 77954426549 scopus 로고    scopus 로고
    • Fathi, A.: The Weak KAM Theorem in Lagrangian Dynamics, 10th prelimiary version.
  • 10
    • 38849191897 scopus 로고    scopus 로고
    • Hamilton-Jacobi methods for vakonomic mechanics
    • Gomes D.: Hamilton-Jacobi methods for vakonomic mechanics. NoDEA Nonlinear Differ. Equ. Appl. 14(3-4), 233-257 (2007).
    • (2007) NoDEA Nonlinear Differ. Equ. Appl. , vol.14 , Issue.3-4 , pp. 233-257
    • Gomes, D.1
  • 12
    • 77954423411 scopus 로고    scopus 로고
    • Lions, P.-L., Papanicolaou, G., Varadhan, S. R. S.: Homogenization of Hamilton-Jacobi equation, unpublished preprint (1987).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.