Found 50 Documents (Results 1–50)
Blaschke-Santaló inequality for many functions and geodesic barycenters of measures. (English) Zbl 1482.52004
Reviewer: Rolf Schneider (Freiburg im Breisgau)
Monge-Kantorovich equation for degenerate Finsler metrics. (English) Zbl 1462.49060
Reviewer: Xin Yang Lu (Thunder Bay)
Exponential convergence of parabolic optimal transport on bounded domains. (English) Zbl 1460.35217
Reviewer: Vincenzo Vespri (Firenze)
Contraction in the Wasserstein metric for the kinetic Fokker-Planck equation on the torus. (English) Zbl 1405.60122
Lack of regularity of the transport density in the Monge problem. (English. French summary) Zbl 1402.35060
Optimal transportation with boundary costs and summability estimates on the transport density. (English) Zbl 1391.35093
Optimal partial mass transportation and obstacle Monge-Kantorovich equation. (English) Zbl 1401.35355
Reviewer: Adrian Muntean (Karlstad)
MSC:
35R35
Optimal mass transportation for costs given by Finsler distances via \(p\)-Laplacian approximations. (English) Zbl 1385.49001
Reviewer: Hussain A. El-Saify (Beni Suef)
A gradient flow approach to quantization of measures. (English) Zbl 1327.35197
Reviewer: Kun Soo Chang (Seoul)
Introduction to optimal transport theory. (English) Zbl 1334.49147
Ollivier, Yann (ed.) et al., Optimal transport. Theory and applications. Proceedings of the summer school ‘Optimal transportation: theory and applications’, Fourier Institute, Grenoble, France. Cambridge: Cambridge University Press (ISBN 978-1-107-68949-7/pbk; 978-1-107-29729-6/ebook). London Mathematical Society Lecture Note Series 413, 3-21 (2014).
Kac’s chaos and Kac’s program. (English) Zbl 1320.82054
On optimal matching measures for matching problems related to the Euclidean distance. (English) Zbl 1349.49051
Mean-field limit for a collision-avoiding flocking system and the time-asymptotic flocking dynamics for the kinetic equation. (English) Zbl 1311.35317
Mass transport problems obtained as limits of \(p\)-Laplacian type problems with spatial dependence. (English) Zbl 1297.49007
An optimal transportation problem with a cost given by the Euclidean distance plus import/export taxes on the boundary. (English) Zbl 1318.49084
Reviewer: Marco Codegone (Torino)
Mass transport problems for the Euclidean distance obtained as limits of \(p\)-Laplacian type problems with obstacles. (English) Zbl 1284.49051
Sobolev regularity for the Monge-Ampère equation in the Wiener space. (English) Zbl 1286.28011
Reviewer: Kun Soo Chang (Seoul)
On Sobolev regularity of mass transport and transportation inequalities. (English. Russian original) Zbl 1279.60032
Theory Probab. Appl. 57, No. 2, 243-264 (2013); translation from Teor. Veroyatn. Primen. 57, No. 2, 296-321 (2012).
Reviewer: Ludger Rüschendorf (Freiburg i. Br.)
Numerical simulation of four-field extended magnetohydrodynamics in dynamically adaptive curvilinear coordinates via Newton-Krylov-Schwarz. (English) Zbl 1277.49037
Radially symmetric solutions of a tempered diffusion equation. A porous media, flux-limited case. (English) Zbl 1276.35109
Optimal couplings of Kantorovich-Rubinstein-Wasserstein \(L_p\)-distance. (English) Zbl 1270.35232
Reviewer: Lubomira Softova (Aversa)
The fluid dynamic approach to equidistribution methods for grid adaptation. (English) Zbl 1217.65184
Generalized Monge-Kantorovich optimization for grid generation and adaptation in \(L_p\). (English) Zbl 1220.49020
On Monge-Kantorovich problem in the plane. (Sur le probléme de Monge-Kantorovich du plan.) (English. Abridged French version) Zbl 1207.49054
Reviewer: Ludger Rüschendorf (Freiburg i. Br.)
Volumetric image registration methods based on solving the Monge-Ampère equation. (English) Zbl 1245.49061
Monge-Kantorovich approach for grid generation. (English) Zbl 1182.65150
Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics 2009, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 1. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0705-3/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 1, 25-28 (2009).
An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization. (English) Zbl 1155.65394
MSC:
65N50
Applied partial differential equations: a visual approach. (English) Zbl 1109.35001
Berlin: Springer (ISBN 3-540-34645-7/hbk). ix, 206 p. (2007).
Reviewer: Ömer Kavaklioglu (Izmir)
Analysis of a PDE model for sandpile growth. (English) Zbl 1218.35071
Ceragioli, F. (ed.) et al., System modeling and optimization. Proceedings of the 22nd IFIP TC7 conference, July 18–22, 2005, Turin, Italy. New York, NY: Springer (ISBN 0-387-32774-6/hbk). IFIP, International Federation for Information Processing 199, 41-50 (2006).
Optimization model of transport currents. (Russian, English) Zbl 1121.49040
J. Math. Sci., New York 135, No. 6, 3457-3484 (2006); translation from Probl. Mat. Anal. 32, 21-43 (2006).
A survey of the Monge transport problem. (English) Zbl 1212.60091
Bakry, Dominique (ed.) et al., Current trends in potential theory. Proceedings of the 2nd IMAR workshop on potential theory, Bucharest, Romania, September 9–29, 2002, and the potential theory conference, Bucharest, Romania, September 23–27, 2003. Bucharest: Theta (ISBN 973-85432-6-6). Theta Series in Advanced Mathematics 4, 17-28 (2005).
Reviewer: F. M. Mahomed (Wits, Johannesburg)
On the Monge-Ampère equation in infinite dimensions. (English) Zbl 1103.49001
Reviewer: Hector O. Fattorini (Los Angeles)
Monge-Kantorovich measure transportation, Monge-Ampère equation and the Itô calculus. (English) Zbl 1064.60124
Kunita, Hiroshi (ed.) et al., Stochastic analysis and related topics in Kyoto. In honour of Kiyoshi Itô. Lectures given at the conference, Kyoto, Japan, September 4–7, 2002. Tokyo: Mathematical Society of Japan (ISBN 4-931469-26-4/hbk). Advanced Studies in Pure Mathematics 41, 49-74 (2004).
Reviewer: Jacques Franchi (Strasbourg)
The strong solution of the Monge-Ampère equation on the Wiener space for log-concave densities. (English. Abridged French version) Zbl 1051.60070
Reviewer: Jacek Jakubowski (Warszawa)
The Monge-Ampère equation and optimal transportation, an elementary review. (English) Zbl 1065.49027
Caffarelli, Luis A. (ed.) et al., Optimal transportation and applications. Lectures given at the C.I.M.E. summer school, Martina Franca, Italy, September 2–8, 2001. Berlin: Springer (ISBN 3-540-40192-X/pbk). Lect. Notes Math. 1813, 1-10 (2003).
Reviewer: Hector O. Fattorini (Los Angeles)
A \(p\)-Laplacian approximation for some mass optimization problems. (English) Zbl 1040.49040
Reviewer: Hector O. Fattorini (Los Angeles)
Characterization of optimal shapes and masses through Monge-Kantorovich equation. (English) Zbl 0982.49025
Reviewer: Hector O.Fattorini (Los Angeles)
Shape optimization solutions via Monge-Kantorovich equation. (English. Abridged French version) Zbl 0884.49023
MSC:
49Q10
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