-
1
-
-
10044247612
-
Lecture notes on optimal transport problems
-
Mathematical Aspects of Evolving Interfaces (Funchal, 200), Springer. Zbl 1047.35001 MR 2011032
-
Ambrosio, L.: Lecture notes on optimal transport problems. In: Mathematical Aspects of Evolving Interfaces (Funchal, 200), Lecture Notes in Math. 1812, Springer, 1-52 (2003). Zbl 1047.35001 MR 2011032
-
(2003)
Lecture Notes in Math. 1812
, pp. 1-52
-
-
Ambrosio, L.1
-
3
-
-
33748882071
-
Gradient flows in metric spaces and in the space of probability measures
-
ETH Zürich, Birkhäuser Zbl pre02152346 MR 2129498
-
Ambrosio, L., Gigli, N., Savaré, G.: Gradient Flows in Metric Spaces and in the Space of Probability Measures. Lectures in Math. ETH Zürich, Birkhäuser (2005) Zbl pre02152346 MR 2129498
-
(2005)
Lectures in Math
-
-
Ambrosio, L.1
Gigli, N.2
Savaré, G.3
-
4
-
-
10044286348
-
1 theory of optimal transportation
-
Springer, Zbl 1065.49026 MR 2006307
-
1 theory of optimal transportation. In: Lecture Notes in Math. 1813, Springer, 123-160 (2003) Zbl 1065.49026 MR 2006307
-
(2003)
Lecture Notes in Math. 1813
, pp. 123-160
-
-
Ambrosio, L.1
Pratelli, A.2
-
5
-
-
0033449512
-
Minimal measures and minimizing closed normal one-currents
-
Zbl 0973.58004 MR 1708452
-
Bangert, V.: Minimal measures and minimizing closed normal one-currents. Geom. Funct. Anal. 9, 413-427 (1999) Zbl 0973.58004 MR 1708452
-
(1999)
Geom. Funct. Anal.
, vol.9
, pp. 413-427
-
-
Bangert, V.1
-
6
-
-
0034407460
-
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
-
Zbl 0968.76069 MR 1738163
-
Benamou, J.-D., Brenier, Y.: A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Numer. Math. 84, 375-393 (2000) Zbl 0968.76069 MR 1738163
-
(2000)
Numer. Math.
, vol.84
, pp. 375-393
-
-
Benamou, J.-D.1
Brenier, Y.2
-
10
-
-
0001016311
-
Décomposition polaire et réarrangement monotone des champs de vecteurs
-
Zbl 0652.26017 MR 0923203
-
Brenier, Y.: Décomposition polaire et réarrangement monotone des champs de vecteurs. C. R. Acad. Sci. Paris Sér. I Math. 305, 805-808 (1987) Zbl 0652.26017 MR 0923203
-
(1987)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.305
, pp. 805-808
-
-
Brenier, Y.1
-
11
-
-
84990623199
-
Polar factorization and monotone rearrangement of vector-valued functions
-
Zbl 0738.46011 MR 1100809
-
Brenier, Y.: Polar factorization and monotone rearrangement of vector-valued functions. Comm. Pure Appl. Math. 44, 375-417 (1991) Zbl 0738.46011 MR 1100809
-
(1991)
Comm. Pure Appl. Math.
, vol.44
, pp. 375-417
-
-
Brenier, Y.1
-
12
-
-
14644430136
-
Extended Monge-Kantorovich theory
-
Optimal Transportation and Applications (Martina Franca, 2001), Springer, Berlin, Zbl 1064.49036
-
Brenier, Y.: Extended Monge-Kantorovich theory. In: Optimal Transportation and Applications (Martina Franca, 2001), Lecture Notes in Math. 1813, Springer, Berlin, 91-121 (2003) Zbl 1064.49036
-
(2003)
Lecture Notes in Math. 1813
, pp. 91-121
-
-
Brenier, Y.1
-
13
-
-
17644427854
-
Semiconcave functions, Hamilton-Jacobi equations and optimal control
-
Birkhäuser Zbl pre02129788 MR 2041617
-
Cannarsa, P., Sinestrari, C.: Semiconcave Functions, Hamilton-Jacobi Equations and Optimal Control. Progr. Nonlinear Differential Equations Appl. 58, Birkhäuser (2004) Zbl pre02129788 MR 2041617
-
(2004)
Progr. Nonlinear Differential Equations Appl.
, pp. 58
-
-
Cannarsa, P.1
Sinestrari, C.2
-
14
-
-
33744950638
-
Minimal measures, one-dimensional currents and the Monge-Kantorovich problem
-
to appear
-
De Pascale, L., Gelli, M. S., Granieri, L.: Minimal measures, one-dimensional currents and the Monge-Kantorovich problem. Calc. Var. Partial Differential Equations, to appear
-
Calc. Var. Partial Differential Equations
-
-
De Pascale, L.1
Gelli, M.S.2
Granieri, L.3
-
15
-
-
1642396846
-
Duality and existence for a class of mass transportation problems and economic applications
-
Zbl pre02134650 MR 2160899
-
Carlier, G.: Duality and existence for a class of mass transportation problems and economic applications. Adv. Math. Economy 5, 1-21 (2003) Zbl pre02134650 MR 2160899
-
(2003)
Adv. Math. Economy
, vol.5
, pp. 1-21
-
-
Carlier, G.1
-
16
-
-
4544355067
-
-
Cambridge Univ. Press Zbl 1023.60001 MR 1932358
-
Dudley, R. M.: Real Analysis and Probability. Cambridge Univ. Press (2002) Zbl 1023.60001 MR 1932358
-
(2002)
Real Analysis and Probability
-
-
Dudley, R.M.1
-
17
-
-
0032622583
-
Differential equation methods for the Monge-Kantorovich mass transfer problem
-
Zbl 0920.49004 MR 1464149
-
Evans, L. C., Gangbo, W.: Differential equation methods for the Monge-Kantorovich mass transfer problem. Mem. Amer. Math. Soc. 137, no. 653 (1999) Zbl 0920.49004 MR 1464149
-
(1999)
Mem. Amer. Math. Soc.
, vol.137
, Issue.653
-
-
Evans, L.C.1
Gangbo, W.2
-
18
-
-
2442648253
-
Linear programming interpretations of Mather's variational principle
-
Zbl pre01967389 MR 1932968
-
Evans, L. C., Gomes, D.: Linear programming interpretations of Mather's variational principle. ESAIM Control Optim. Calc. Var. 8, 693-702 (2002) Zbl pre01967389 MR 1932968
-
(2002)
ESAIM Control Optim. Calc. Var.
, vol.8
, pp. 693-702
-
-
Evans, L.C.1
Gomes, D.2
-
20
-
-
0842346770
-
1 critical subsolutions of the Hamilton-Jacobi equation
-
Zbl 1061.58008 MR 2031431
-
1 critical subsolutions of the Hamilton-Jacobi equation. Invent. Math. 155, 363-388 (2004) Zbl 1061.58008 MR 2031431
-
(2004)
Invent. Math.
, vol.155
, pp. 363-388
-
-
Fathi, A.1
Siconolfi, A.2
-
22
-
-
33845512762
-
-
Habilitation thesis
-
Gangbo, W.: Habilitation thesis
-
-
-
Gangbo, W.1
-
23
-
-
0001103156
-
The geometry of optimal transportation
-
Zbl 0887.49017 MR 1440931
-
Gangbo, W., J. McCann, R.: The geometry of optimal transportation. Acta Math. 177, 113-161 (1996) Zbl 0887.49017 MR 1440931
-
(1996)
Acta Math.
, vol.177
, pp. 113-161
-
-
Gangbo, W.1
McCann, R.J.2
-
26
-
-
0001393149
-
On the transfer of masses
-
in Russian
-
Kantorovich, L. V.: On the transfer of masses. Dokl. Akad. Nauk SSSR 37, 227-229 (1942) (in Russian);
-
(1942)
Dokl. Akad. Nauk SSSR
, vol.37
, pp. 227-229
-
-
Kantorovich, L.V.1
-
27
-
-
33845509691
-
-
reprinted in: Zbl 1080.49507 MR 2117876
-
reprinted in: Zap. Nauchn. Semin. POMI 312, 11-144 (2004) Zbl 1080.49507 MR 2117876
-
(2004)
Zap. Nauchn. Semin. POMI
, vol.312
, pp. 11-144
-
-
-
28
-
-
0001010507
-
On a problem of Monge
-
in Russian
-
Kantorovich, L. V.: On a problem of Monge. Uspekhi Mat. Nauk 3, 225-226 (1948) (in Russian);
-
(1948)
Uspekhi Mat. Nauk
, vol.3
, pp. 225-226
-
-
Kantorovich, L.V.1
-
29
-
-
33845473117
-
-
reprinted in: Zbl pre02213827 MR 2117877
-
reprinted in: Zap. Nauchn. Semin. POMI 312, 15-16 (2004) Zbl pre02213827 MR 2117877
-
(2004)
Zap. Nauchn. Semin. POMI
, vol.312
, pp. 15-16
-
-
-
30
-
-
32544455667
-
The reconstruction problem for the Euler-Poisson system in cosmology
-
Zbl pre05009583 MR 2209129
-
Loeper, G.: The reconstruction problem for the Euler-Poisson system in cosmology. Arch. Ration. Mech. Anal. 179, 153-216 (2006) Zbl pre05009583 MR 2209129
-
(2006)
Arch. Ration. Mech. Anal.
, vol.179
, pp. 153-216
-
-
Loeper, G.1
-
31
-
-
0000514824
-
Generic properties and problems of minimizing measures of Lagrangian systems
-
Zbl 0886.58037 MR 1384478
-
Mañé, R.: Generic properties and problems of minimizing measures of Lagrangian systems. Nonlinearity 9, 273-310 (1996) Zbl 0886.58037 MR 1384478
-
(1996)
Nonlinearity
, vol.9
, pp. 273-310
-
-
Mañé, R.1
-
32
-
-
51649154248
-
Action minimizing invariant measures for positive definite Lagrangian systems
-
Zbl 0696.58027 MR 1109661
-
Mather, J. N.: Action minimizing invariant measures for positive definite Lagrangian systems. Math. Z. 207, 169-207 (1991) Zbl 0696.58027 MR 1109661
-
(1991)
Math. Z.
, vol.207
, pp. 169-207
-
-
Mather, J.N.1
-
34
-
-
24944565638
-
Equivalence between some definitions for the optimal mass transportation problem and for the transport density on manifolds
-
Pratelli, A.: Equivalence between some definitions for the optimal mass transportation problem and for the transport density on manifolds. Ann. Mat. Pura Appl. 184, 215-238 (2005)
-
(2005)
Ann. Mat. Pura Appl.
, vol.184
, pp. 215-238
-
-
Pratelli, A.1
-
36
-
-
0000084275
-
Currents, flows and diffeomorphisms
-
Zbl 0321.58019 MR 0415679
-
Ruelle, D., Sullivan, D.: Currents, flows and diffeomorphisms. Topology 14, 319-327 (1975) Zbl 0321.58019 MR 0415679
-
(1975)
Topology
, vol.14
, pp. 319-327
-
-
Ruelle, D.1
Sullivan, D.2
-
37
-
-
2442557820
-
-
Amer. Math. Soc., Providence, RI Zbl pre01909499 MR 1964483
-
Villani, C.: Topics in Optimal Transportation. Amer. Math. Soc., Providence, RI (2003) Zbl pre01909499 MR 1964483
-
(2003)
Topics in Optimal Transportation
-
-
Villani, C.1
|