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Transport density in Monge-Kantorovich problems with Dirichlet conditions
1. | Dipartimento di Matematica, Università di Pisa, via Buonarroti 2, 56127 Pisa, Italy |
[1] |
Abbas Moameni. Invariance properties of the Monge-Kantorovich mass transport problem. Discrete and Continuous Dynamical Systems, 2016, 36 (5) : 2653-2671. doi: 10.3934/dcds.2016.36.2653 |
[2] |
Jesus Garcia Azorero, Juan J. Manfredi, I. Peral, Julio D. Rossi. Limits for Monge-Kantorovich mass transport problems. Communications on Pure and Applied Analysis, 2008, 7 (4) : 853-865. doi: 10.3934/cpaa.2008.7.853 |
[3] |
Zuo Quan Xu, Jia-An Yan. A note on the Monge-Kantorovich problem in the plane. Communications on Pure and Applied Analysis, 2015, 14 (2) : 517-525. doi: 10.3934/cpaa.2015.14.517 |
[4] |
Yupeng Li, Wuchen Li, Guo Cao. Image segmentation via $ L_1 $ Monge-Kantorovich problem. Inverse Problems and Imaging, 2019, 13 (4) : 805-826. doi: 10.3934/ipi.2019037 |
[5] |
Nassif Ghoussoub, Bernard Maurey. Remarks on multi-marginal symmetric Monge-Kantorovich problems. Discrete and Continuous Dynamical Systems, 2014, 34 (4) : 1465-1480. doi: 10.3934/dcds.2014.34.1465 |
[6] |
Christian Léonard. A survey of the Schrödinger problem and some of its connections with optimal transport. Discrete and Continuous Dynamical Systems, 2014, 34 (4) : 1533-1574. doi: 10.3934/dcds.2014.34.1533 |
[7] |
Qinglan Xia. An application of optimal transport paths to urban transport networks. Conference Publications, 2005, 2005 (Special) : 904-910. doi: 10.3934/proc.2005.2005.904 |
[8] |
John C. Schotland, Vadim A. Markel. Fourier-Laplace structure of the inverse scattering problem for the radiative transport equation. Inverse Problems and Imaging, 2007, 1 (1) : 181-188. doi: 10.3934/ipi.2007.1.181 |
[9] |
Samer Dweik. $ L^{p, q} $ estimates on the transport density. Communications on Pure and Applied Analysis, 2019, 18 (6) : 3001-3009. doi: 10.3934/cpaa.2019134 |
[10] |
Wilfrid Gangbo, Andrzej Świech. Optimal transport and large number of particles. Discrete and Continuous Dynamical Systems, 2014, 34 (4) : 1397-1441. doi: 10.3934/dcds.2014.34.1397 |
[11] |
Cédric Villani. Regularity of optimal transport and cut locus: From nonsmooth analysis to geometry to smooth analysis. Discrete and Continuous Dynamical Systems, 2011, 30 (2) : 559-571. doi: 10.3934/dcds.2011.30.559 |
[12] |
Dario Cordero-Erausquin, Alessio Figalli. Regularity of monotone transport maps between unbounded domains. Discrete and Continuous Dynamical Systems, 2019, 39 (12) : 7101-7112. doi: 10.3934/dcds.2019297 |
[13] |
Robert J. McCann. A glimpse into the differential topology and geometry of optimal transport. Discrete and Continuous Dynamical Systems, 2014, 34 (4) : 1605-1621. doi: 10.3934/dcds.2014.34.1605 |
[14] |
Paul Pegon, Filippo Santambrogio, Davide Piazzoli. Full characterization of optimal transport plans for concave costs. Discrete and Continuous Dynamical Systems, 2015, 35 (12) : 6113-6132. doi: 10.3934/dcds.2015.35.6113 |
[15] |
Giulia Cavagnari. Regularity results for a time-optimal control problem in the space of probability measures. Mathematical Control and Related Fields, 2017, 7 (2) : 213-233. doi: 10.3934/mcrf.2017007 |
[16] |
Yangang Chen, Justin W. L. Wan. Numerical method for image registration model based on optimal mass transport. Inverse Problems and Imaging, 2018, 12 (2) : 401-432. doi: 10.3934/ipi.2018018 |
[17] |
Klas Modin. Geometry of matrix decompositions seen through optimal transport and information geometry. Journal of Geometric Mechanics, 2017, 9 (3) : 335-390. doi: 10.3934/jgm.2017014 |
[18] |
Karthik Elamvazhuthi, Piyush Grover. Optimal transport over nonlinear systems via infinitesimal generators on graphs. Journal of Computational Dynamics, 2018, 5 (1&2) : 1-32. doi: 10.3934/jcd.2018001 |
[19] |
Ugo Bindini, Luigi De Pascale, Anna Kausamo. On deterministic solutions for multi-marginal optimal transport with Coulomb cost. Communications on Pure and Applied Analysis, 2022, 21 (4) : 1189-1208. doi: 10.3934/cpaa.2022015 |
[20] |
Bingkang Huang, Lusheng Wang, Qinghua Xiao. Global nonlinear stability of rarefaction waves for compressible Navier-Stokes equations with temperature and density dependent transport coefficients. Kinetic and Related Models, 2016, 9 (3) : 469-514. doi: 10.3934/krm.2016004 |
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