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Volumn 48, Issue 3-4, 2013, Pages 395-420

Geodesics for a class of distances in the space of probability measures

Author keywords

Dynamical transport distances; Geodesics in the space of probability measures; Optimality conditions; Power mobility

Indexed keywords


EID: 84885675830     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-012-0555-7     Document Type: Article
Times cited : (37)

References (13)
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    • Optimal transportation with traffic congestion and Wardrop equilibria
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    • Carlier, G.1    Jimenez, C.2    Santambrogio, F.3
  • 6
    • 70450225042 scopus 로고    scopus 로고
    • Nonlinear mobility continuity equations and generalized displacement convexity
    • Carrillo J. A., Lisini S., Savaré G., Slepcev D.: Nonlinear mobility continuity equations and generalized displacement convexity. J. Funct. Anal. 258, 1273-1309 (2010).
    • (2010) J. Funct. Anal. , vol.258 , pp. 1273-1309
    • Carrillo, J.A.1    Lisini, S.2    Savaré, G.3    Slepcev, D.4
  • 7
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    • Jeux àà champ moyen II. Horizon fini et contrôle optimal.French Mean field games. II. Finite horizon and optimal control
    • Lasry J.-M., Lions P.-L.: Jeux àà champ moyen II. Horizon fini et contrôle optimal. French Mean field games. II. Finite horizon and optimal control. Comptes Rendus Math. Acad. Sci. Paris 343(10), 679-684 (2006).
    • (2006) Comptes Rendus Math. Acad. Sci. Paris , vol.343 , Issue.10 , pp. 679-684
    • Lasry, J.-M.1    Lions, P.-L.2
  • 10
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    • On a class of modified Wasserstein distances induced by concave mobility functions defined on bounded intervals
    • Lisini S., Marigonda A.: On a class of modified Wasserstein distances induced by concave mobility functions defined on bounded intervals. Manuscripta Math. 133(1-2), 197-224 (2010).
    • (2010) Manuscripta Math. , vol.133 , Issue.1-2 , pp. 197-224
    • Lisini, S.1    Marigonda, A.2
  • 12
    • 0031161793 scopus 로고    scopus 로고
    • A convexity principle for interacting cases
    • McCann R. J.: A convexity principle for interacting cases. Adv. Math. 128(1), 153-179 (1997).
    • (1997) Adv. Math. , vol.128 , Issue.1 , pp. 153-179
    • McCann, R.J.1
  • 13
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    • Rockafellar R. T.: Integrals which are convex functionals, II. Pac. J. Math. 39, 439-469 (1971).
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    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.