Research graph
References from A gradient flow for the porous medium equations with Dirichlet boundary conditions. Local targets link to admitted publications; unresolved targets remain external evidence.
Functions of Bounded Variation and Free Discontinuity Problems
10.1093/oso/9780198502456.001.0001 · 2000 · External reference
Gradient Flows in Metric Spaces and in the Space of Probability Measures
2008 · External reference
Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
10.4171/rmi/376 · 2003 · External reference
Contractions in the 2-Wasserstein length space and thermalization of granular media
10.1007/s00205-005-0386-1 · 2006 · External reference
Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below
10.1016/j.jfa.2022.109661 · 2022 · External reference
The heat equation on manifolds as a gradient flow in the Wasserstein space
10.1214/08-aihp306 · 2010 · External reference
Unresolved reference
External reference
Measure Theory and Fine Properties of Functions
1992 · External 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 · 2010 · External reference
Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations
10.1007/s00526-013-0633-5 · 2014 · External reference
The variational formulation of the Fokker-Planck equation
10.1137/s0036141096303359 · 1998 · External 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 · 2018 · External reference
Heat flow on Finsler manifolds
10.1002/cpa.20273 · 2009 · External reference
The geometry of dissipative evolution equations: the porous medium equation
10.1081/pde-100002243 · 2001 · External reference
Eulerian calculus for the contraction in the Wasserstein distance
10.1137/050622420 · 2005 · External reference
Heat flow with Dirichlet boundary conditions via optimal transport and gluing of metric measure spaces
10.1007/s00526-020-01774-w · 2020 · External reference
Variational structures for the Fokker–Planck equation with general Dirichlet boundary conditions
10.1007/s00526-025-03193-1 · 2026 · External reference
Tightness, integral equicontinuity and compactness for evolution problems in Banach spaces
2003 · External reference
Optimal Transport for Applied Mathematicians
2015 · External reference
Convex functionals of probability measures and nonlinear diffusions on manifolds
10.1016/j.matpur.2004.11.002 · 2005 · External reference
Unresolved reference
2006 · External reference
Unresolved reference
2007 · External reference
Optimal Transport, Old and New
2009 · External reference
Heat flow on Finsler manifolds
10.1002/cpa.20273 · ExternalCitation · doi-reference
Contractions in the 2-Wasserstein length space and thermalization of granular media
10.1007/s00205-005-0386-1 · ExternalCitation · doi-reference
Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations
10.1007/s00526-013-0633-5 · ExternalCitation · doi-reference
Heat flow with Dirichlet boundary conditions via optimal transport and gluing of metric measure spaces
10.1007/s00526-020-01774-w · ExternalCitation · doi-reference
Variational structures for the Fokker–Planck equation with general Dirichlet boundary conditions
10.1007/s00526-025-03193-1 · ExternalCitation · doi-reference
Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below
10.1016/j.jfa.2022.109661 · ExternalCitation · doi-reference
Convex functionals of probability measures and nonlinear diffusions on manifolds
10.1016/j.matpur.2004.11.002 · ExternalCitation · 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 · ExternalCitation · 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 · ExternalCitation · doi-reference
The geometry of dissipative evolution equations: the porous medium equation
10.1081/pde-100002243 · ExternalCitation · doi-reference
Functions of Bounded Variation and Free Discontinuity Problems
10.1093/oso/9780198502456.001.0001 · ExternalCitation · doi-reference
Eulerian calculus for the contraction in the Wasserstein distance
10.1137/050622420 · ExternalCitation · doi-reference
The variational formulation of the Fokker-Planck equation
10.1137/s0036141096303359 · ExternalCitation · doi-reference
The heat equation on manifolds as a gradient flow in the Wasserstein space
10.1214/08-aihp306 · ExternalCitation · doi-reference
Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
10.4171/rmi/376 · ExternalCitation · doi-reference
