-
1
-
-
33746866139
-
Weak lower semicontinuous envelope of functionals defined on a space of measures
-
4
-
L. Ambrosio G. Buttazzo 1988 Weak lower semicontinuous envelope of functionals defined on a space of measures Ann. Mat. Pura Appl. 150 4 311 339
-
(1988)
Ann. Mat. Pura Appl.
, vol.150
, pp. 311-339
-
-
Ambrosio, L.1
Buttazzo, G.2
-
3
-
-
33746157912
-
Gradient flows in metric spaces and in the space of probability measures
-
Birkhäuser Verlag, Basel
-
Ambrosio, L., Gigli, N., Savaré, G.: Gradient flows in metric spaces and in the space of probability measures, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag, Basel (2005)
-
(2005)
Lectures in Mathematics ETH Zürich
-
-
Ambrosio, L.1
Gigli, N.2
Savaré, G.3
-
5
-
-
47549096195
-
Existence and stability for Fokker-Planck equations with log-concave reference measure
-
Prepriny, arxiv:0704.2458v1. (to appear)
-
Ambrosio, L., Savaré, G., Zambotti, L.: Existence and stability for Fokker-Planck equations with log-concave reference measure, Prepriny, arxiv:0704.2458v1. Probab. Theory Relat. Fields (2007) (to appear)
-
(2007)
Probab. Theory Relat. Fields
-
-
Ambrosio, L.1
Savaré, G.2
Zambotti, L.3
-
6
-
-
0002042431
-
On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations
-
A. Arnold P. Markowich G. Toscani A. Unterreiter 2001 On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations Comm. Partial Differ. Equ. 26 43 100
-
(2001)
Comm. Partial Differ. Equ.
, vol.26
, pp. 43-100
-
-
Arnold, A.1
Markowich, P.2
Toscani, G.3
Unterreiter, A.4
-
7
-
-
0034407460
-
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
-
J.-D. Benamou Y. Brenier 2000 A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem Numer. Math. 84 375 393
-
(2000)
Numer. Math.
, vol.84
, pp. 375-393
-
-
Benamou, J.-D.1
Brenier, Y.2
-
8
-
-
34250424671
-
Convex measures on locally convex spaces
-
C. Borell 1974 Convex measures on locally convex spaces Ark. Mat. 12 239 252
-
(1974)
Ark. Mat.
, vol.12
, pp. 239-252
-
-
Borell, C.1
-
10
-
-
84990623199
-
Polar factorization and monotone rearrangement of vector-valued functions
-
Y. Brenier 1991 Polar factorization and monotone rearrangement of vector-valued functions Comm. Pure Appl. Math. 44 375 417
-
(1991)
Comm. Pure Appl. Math.
, vol.44
, pp. 375-417
-
-
Brenier, Y.1
-
13
-
-
54349129004
-
Eulerian calculus for the displacement convexity in the Wasserstein distance
-
Preprint, arXiv:0801.2455v1. (to appear)
-
Daneri, S., Savaré, G.: Eulerian calculus for the displacement convexity in the Wasserstein distance. Preprint, arXiv:0801.2455v1. SIAM J. Math. Anal. (2008) (to appear)
-
(2008)
SIAM J. Math. Anal.
-
-
Daneri, S.1
Savaré, G.2
-
14
-
-
0007106184
-
New problems on minimizing movements
-
Baiocchi, C., Lions, J.L. (eds.) Masson
-
De Giorgi, E.: New problems on minimizing movements. In: Baiocchi, C., Lions, J.L. (eds.) Boundary Value Problems for PDE and Applications, pp. 81-98. Masson 1993
-
(1993)
Boundary Value Problems for PDE and Applications
, pp. 81-98
-
-
De Giorgi, E.1
-
17
-
-
0003073688
-
Partial differential equations and Monge-Kantorovich mass transfer
-
Int. Press, Boston
-
Evans, L.C.: Partial differential equations and Monge-Kantorovich mass transfer, in Current developments in mathematics, 1997, pp. 65-126. Int. Press, Boston (1999)
-
(1997)
Current Developments in Mathematics
, pp. 65-126
-
-
Evans, L.C.1
-
18
-
-
0032622583
-
Differential equations methods for the Monge-Kantorovich mass transfer problem
-
Evans, L.C., Gangbo, W.: Differential equations methods for the Monge-Kantorovich mass transfer problem. Mem. Am. Math. Soc. 137, viii+66 (1999)
-
(1999)
Mem. Am. Math. Soc.
, vol.137
-
-
Evans, L.C.1
Gangbo, W.2
-
19
-
-
0001103156
-
The geometry of optimal transportation
-
W. Gangbo R.J. McCann 1996 The geometry of optimal transportation Acta Math. 177 113 161
-
(1996)
Acta Math.
, vol.177
, pp. 113-161
-
-
Gangbo, W.1
McCann, R.J.2
-
20
-
-
0032343437
-
The variational formulation of the Fokker-Planck equation
-
(electronic)
-
R. Jordan D. Kinderlehrer F. Otto 1998 The variational formulation of the Fokker-Planck equation SIAM J. Math. Anal. 29 1 17 (electronic)
-
(1998)
SIAM J. Math. Anal.
, vol.29
, pp. 1-17
-
-
Jordan, R.1
Kinderlehrer, D.2
Otto, F.3
-
21
-
-
23744474323
-
On a functional operation generating convex functions. I. Duality
-
P. Maréchal 2005 On a functional operation generating convex functions. I. Duality J. Optim. Theory Appl. 126 175 189
-
(2005)
J. Optim. Theory Appl.
, vol.126
, pp. 175-189
-
-
Maréchal, P.1
-
22
-
-
23844493140
-
On a functional operation generating convex functions. II. Algebraic properties
-
P. Maréchal 2005 On a functional operation generating convex functions. II. Algebraic properties J. Optim. Theory Appl. 126 357 366
-
(2005)
J. Optim. Theory Appl.
, vol.126
, pp. 357-366
-
-
Maréchal, P.1
-
23
-
-
0001636186
-
1 isometric imbeddings
-
1 isometric imbeddings Ann. Math. 60 383 396
-
(1954)
Ann. Math.
, vol.60
, pp. 383-396
-
-
Nash, J.1
-
24
-
-
0002702476
-
The imbedding problem for Riemannian manifolds
-
J Nash 1956 The imbedding problem for Riemannian manifolds Ann. Math. 63 20 63
-
(1956)
Ann. Math.
, vol.63
, pp. 20-63
-
-
Nash, J.1
-
26
-
-
0039525530
-
Evolution of microstructure in unstable porous media flow: A relaxational approach
-
F. Otto 1999 Evolution of microstructure in unstable porous media flow: a relaxational approach Comm. Pure Appl. Math. 52 873 915
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, pp. 873-915
-
-
Otto, F.1
-
27
-
-
0001560970
-
The geometry of dissipative evolution equations: The porous medium equation
-
F. Otto 2001 The geometry of dissipative evolution equations: the porous medium equation Comm. Partial Differ. Equ. 26 101 174
-
(2001)
Comm. Partial Differ. Equ.
, vol.26
, pp. 101-174
-
-
Otto, F.1
-
28
-
-
0001559554
-
Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
-
F. Otto C. Villani 2000 Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality J. Funct. Anal. 173 361 400
-
(2000)
J. Funct. Anal.
, vol.173
, pp. 361-400
-
-
Otto, F.1
Villani, C.2
-
29
-
-
33746121129
-
Eulerian calculus for the contraction in the Wasserstein distance
-
(electronic)
-
F. Otto M. Westdickenberg 2005 Eulerian calculus for the contraction in the Wasserstein distance SIAM J. Math. Anal. 37 1227 1255 (electronic)
-
(2005)
SIAM J. Math. Anal.
, vol.37
, pp. 1227-1255
-
-
Otto, F.1
Westdickenberg, M.2
-
31
-
-
84972561023
-
A general correspondence between dual minimax problems and convex problems
-
R. Rocckafellar 1968 A general correspondence between dual minimax problems and convex problems Pac. J. Math. 25 597 611
-
(1968)
Pac. J. Math.
, vol.25
, pp. 597-611
-
-
Rocckafellar, R.1
-
32
-
-
1542342359
-
Topics in optimal transportation
-
American Mathematical Society, Providence
-
Villani, C.: Topics in optimal transportation. In: Graduate Studies in Mathematics, vol. 58. American Mathematical Society, Providence (2003)
-
(2003)
Graduate Studies in Mathematics
, vol.58
-
-
Villani, C.1
|