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Dongkwang Kim, Dowan Koo, Geuntaek Seo
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Functions of Bounded Variation and Free Discontinuity Problems
10.1093/oso/9780198502456.001.0001 · 2000
Gradient Flows in Metric Spaces and in the Space of Probability Measures
2008
Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
10.4171/rmi/376 · 2003
Contractions in the 2-Wasserstein length space and thermalization of granular media
10.1007/s00205-005-0386-1 · 2006
Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below
10.1016/j.jfa.2022.109661 · 2022
The heat equation on manifolds as a gradient flow in the Wasserstein space
10.1214/08-aihp306 · 2010
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A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions
10.1016/j.matpur.2009.11.005 · 2010
Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations
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Confidence 0%
10.1007/s00526-013-0633-5 · 2014
The variational formulation of the Fokker-Planck equation
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A new family of transportation costs with applications to reaction-diffusion and parabolic equations with boundary conditions
10.1016/j.matpur.2017.12.001 · 2018
Heat flow on Finsler manifolds
10.1002/cpa.20273 · 2009
The geometry of dissipative evolution equations: the porous medium equation
10.1081/pde-100002243 · 2001
Eulerian calculus for the contraction in the Wasserstein distance
10.1137/050622420 · 2005
Heat flow with Dirichlet boundary conditions via optimal transport and gluing of metric measure spaces
10.1007/s00526-020-01774-w · 2020
Variational structures for the Fokker–Planck equation with general Dirichlet boundary conditions
10.1007/s00526-025-03193-1 · 2026
Tightness, integral equicontinuity and compactness for evolution problems in Banach spaces
2003
Optimal Transport for Applied Mathematicians
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Convex functionals of probability measures and nonlinear diffusions on manifolds
10.1016/j.matpur.2004.11.002 · 2005
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2006
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2007
Optimal Transport, Old and New
2009
Convex functionals of probability measures and nonlinear diffusions on manifolds
10.1016/j.matpur.2004.11.002 · doi-reference
Variational structures for the Fokker–Planck equation with general Dirichlet boundary conditions
10.1007/s00526-025-03193-1 · doi-reference
Heat flow with Dirichlet boundary conditions via optimal transport and gluing of metric measure spaces
10.1007/s00526-020-01774-w · doi-reference
Eulerian calculus for the contraction in the Wasserstein distance
10.1137/050622420 · doi-reference
The geometry of dissipative evolution equations: the porous medium equation
10.1081/pde-100002243 · doi-reference
Heat flow on Finsler manifolds
10.1002/cpa.20273 · doi-reference
A new family of transportation costs with applications to reaction-diffusion and parabolic equations with boundary conditions
10.1016/j.matpur.2017.12.001 · doi-reference
The variational formulation of the Fokker-Planck equation
10.1137/s0036141096303359 · doi-reference
Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations
10.1007/s00526-013-0633-5 · doi-reference
A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions
10.1016/j.matpur.2009.11.005 · doi-reference
The heat equation on manifolds as a gradient flow in the Wasserstein space
10.1214/08-aihp306 · doi-reference
Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below
10.1016/j.jfa.2022.109661 · doi-reference
Contractions in the 2-Wasserstein length space and thermalization of granular media
10.1007/s00205-005-0386-1 · doi-reference
Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
10.4171/rmi/376 · doi-reference
Functions of Bounded Variation and Free Discontinuity Problems
10.1093/oso/9780198502456.001.0001 · doi-reference