On the Monge-Ampére equation on Wiener space

Doklady Mathematics

Volumn 73, Issue 1, 2006, Pages 1-5

  Bogachev, V I ^a   Kolesnikov, A V ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b SCUOLA NORMALE SUPERIORE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; MATHEMATICAL TRANSFORMATIONS; PROBABILITY;

MONGE-AMPÉRE EQUATION; OPTIMAL TRANSPORTATION MAPPING; WIENER SPACE;

WAVE EQUATIONS;

EID: 33645957366     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1064562406010017     Document Type: Article

References (13)

1. S. T. Rachev and L. Rüschendorf, Mass Transportation Problems (Springer-Verlag, New York, 1998).
2. C. Villani, Topics in Optimal Transportation (Am. Math. Soc., Providence, R. I., 2003).
3. V. N. Sudakov, "Geometric Problems of the Theory of Infinite-Dimensional Probability Distributions," Tr. Mat. Inst. im. V.A. Steklova Akad. Nauk SSSR 141, 1-190 (1976)
4. [Proc. Steklov Inst. Math., No. 2, 1-178 (1979)].
5. Y. Brenier, Commun. Pure Appl. Math. 44, 375-417 (1991).
6. R. J. McCann, Adv. Math. 128 (1), 153-179 (1997).
7. J. Gutierrez, The Monge-Ampere Equation (Birkhäuser, Boston, 1999).
8. D. Feyel and A. S. Üstünel, Probab. Theor. Relat. Fields 128, 347-385 (2004).
9. D. Feyel and A. S. Üstünel, www.arxiv.org (2004).
10. A. V. Kolesnikov, J. Math. Pures Appl. 83, 1373-1404 (2004).
11. V. I. Bogachev, Gaussian Measures (Nauka, Moscow, 1997; Am. Math. Soc., Providence, R. I., 1998).
12. D. Feyel and A. S. Üstünel, J. Funct. Anal. 176, 400-428 (2000).
13. M. Talagrand, Geom. Funct. Anal. 6, 587-600 (1996).