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Keyword: Wasserstein distance
Papers related to keyword:
N. De Ponti
-
G. Stefani
(Submitted Paper)
Properties of Lipschitz smoothing heat semigroups
(2024)
L. Lussardi
- A. Melchor Hernandez -
M. Morandotti
(
M3AS
)
$\Gamma$-convergence of discrete energies modeling self-aggregation of stochastic particles
(2024)
L. Bungert
(
Advances in Continuous and Discrete Models
)
The inhomogeneous $p$-Laplacian equation with Neumann boundary conditions in the limit $p\to\infty$
(2023)
G. Buttazzo
- G. Carlier - K. Eichinger (Submitted Paper)
Wasserstein interpolation with constraints and application to a parking problem
(2022)
Q. Xia
-
B. Zhou
(
Advances in Calculus of Variations
)
The existence of minimizers for an isoperimetric problem with Wasserstein penalty term in unbounded domains
(2021)
G. Buttazzo
- G. Carlier - M. Laborde (Submitted Paper)
On the Wasserstein distance between mutually singular measures
(2017)
A. Brancolini
- B. Wirth (Accepted Paper:
SIAM J. Math. Anal.
)
Optimal micropatterns in transport networks
(2017)
A. Brancolini
- C. Rossmanith - B. Wirth (
Archive for Rational Mechanics and Analysis
)
Optimal micropatterns in 2D transport networks and their relation to image inpainting
(2017)
M. Bongini -
G. Buttazzo
(Submitted Paper)
Optimal Control Problems in Transport Dynamics
(2016)
A. Brancolini
- B. Wirth (
J. Math. Pures Appl.
)
Equivalent formulations for the branched transport and urban planning problems
(2016)
J. A. Carrillo -
S. Lisini
-
E. Mainini
(
Nonlinear Anal. TMA
)
Gradient flows for non-smooth interaction potentials
(2014)
J. A. Carrillo -
S. Lisini
-
E. Mainini
(
Discrete Contin. Dyn. Syst.-Series A
)
Uniqueness for Keller-Segel-type chemotaxis models
(2014)
F. Santambrogio
(
chapter in "Optimal Transportation, theory and applications", London Math. Soc.
)
Introduction to Optimal Transport Theory
(2014)
S. Fornaro -
S. Lisini
-
G. Savaré
- G. Toscani (
Discrete Contin. Dyn. Syst.-Series A
)
Measure valued solutions of sub-linear diffusion equations with a drift term
(2012)
B. Maury - A. Roudneff-Chupin -
F. Santambrogio
- J. Venel (
Net. Het. Media
)
Handling congestion in crowd motion models
(2011)
G. Crippa
- M. Lecureux-Mercier (Accepted Paper:
Nonlinear Differential Equations and Applications NoDEA
)
Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow
(2011)
B. Maury - A. Roudneff-Chupin -
F. Santambrogio
(
M3AS
)
A macroscopic crowd motion model of gradient flow type
(2010)
G. Buttazzo
- G. Carlier - R. Tahraoui (Preprint)
On some systems controlled by the structure of their memory
(2010)
N. Gigli
- F. Otto (Accepted at Calc.Var and PDE)
Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric
(2010)
N. Gigli
- S. I. Ohta (Accepted Paper:
Canad. Math. Bull.
)
First variation formula in Wasserstein spaces over compact Alexandrov spaces
(2010)
L. Natile
-
G. Savaré
(Submitted Paper)
A Wasserstein approach to the one-dimensional sticky particle system
(2009)
N. Gigli
(Accepted Paper:
Rendiconti di matematica
)
On the weak closure of convex sets of Probability measures
(2009)
D. Matthes - R. J. McCann -
G. Savaré
(Submitted Paper)
A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
(2009)
L. Ambrosio
-
N. Gigli
(Accepted Paper:
Methods and Applications of Analysis
)
Construction of the parallel transport in the Wasserstein space
(2008)
N. Gigli
(Accepted Paper:
Proceedings of the Edinburgh Mathematical Society
)
On Hölder continuity in time of the optimal transport map towards measures along a curve
(2008)
L. Ambrosio
-
F. Santambrogio
(
Rend. Lincei - Mat. e Appl.
)
Necessary optimality conditions for geodesics in weighted Wasserstein spaces
(2007)
U. Gianazza -
G. Savaré
- G. Toscani (Accepted Paper:
Arch. Ration. Mech. Anal.
)
The Wasserstein gradient flow of the Fisher information and the Quantum Drift-Diffusion equation
(2006)
M. O. Rieger
(Submitted Paper)
Monotonicity of transport plans
(2006)
L. Ambrosio
(Accepted Paper)
Steepest descent flows and applications to spaces of probability measures
(2005)
L. Ambrosio
- W. Gangbo (Submitted Paper)
Hamiltonian ODE's in the Wasserstein space of probability measures
(2005)
L. Ambrosio
-
N. Gigli
-
G. Savaré
(Accepted Paper)
Gradient flows with metric and differentiable structures, and applications to the Wasserstein space
(2003)
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