User Nicola Gigli

8 votes

Accepted

Reference request: Wasserstein metric spaces for non linear weights/mobility?

answered Nov 6, 2014 at 22:52

7 votes

Accepted

About the metrizability of the space of Probability measures $\mathcal{P}(S)$

answered Jul 14, 2020 at 16:26

5 votes

distributional Hessian for semiconvex functions on non-smooth manifolds

answered Mar 26, 2015 at 11:23

4 votes

Are there alternative proofs for existence/uniqueness of ODE solutions?

answered Jul 22, 2022 at 11:28

3 votes

Gradient flows: convex potential vs. contractive flow?

answered Jul 11, 2020 at 15:03

3 votes

Convergence in energy of bounded (semi)subharmonic functions

answered Apr 2, 2015 at 16:40

2 votes

Accepted

Open problem 1.28: $W^{1,1}$ regularity for optimal transport map

answered Apr 27, 2022 at 12:16

2 votes

Heat kernel and convergence

answered Jul 15, 2018 at 18:55

2 votes

Elliptic Regularity with Gibbs Measure Satisfying Bakry-Emery Condition

answered Jul 6, 2019 at 23:03

1 vote

Continuity and sequential continuity of a linear functional

answered Jul 4, 2018 at 9:17

0 votes

Regular Lagrangian flow for explicit ODE with discontinuous right-hand side

answered Jul 22, 2022 at 11:35

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11 Answers

Reference request: Wasserstein metric spaces for non linear weights/mobility?

About the metrizability of the space of Probability measures $\mathcal{P}(S)$

distributional Hessian for semiconvex functions on non-smooth manifolds

Are there alternative proofs for existence/uniqueness of ODE solutions?

Gradient flows: convex potential vs. contractive flow?

Convergence in energy of bounded (semi)subharmonic functions

Open problem 1.28: $W^{1,1}$ regularity for optimal transport map

Heat kernel and convergence

Elliptic Regularity with Gibbs Measure Satisfying Bakry-Emery Condition

Continuity and sequential continuity of a linear functional

Regular Lagrangian flow for explicit ODE with discontinuous right-hand side