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Regular Lagrangian flow for explicit ODE with discontinuous right-hand side
No. The theory of Regular Lagrangian Flows rests on two key assumptions: a Sobolev/BV regularity of the vector field and a bound from below on its divergence.
In your case you are solving
$$
X'=b(X)
$ …
8
votes
Accepted
Reference request: Wasserstein metric spaces for non linear weights/mobility?
Yes, this issue has been considered. You can start having a look at `A new class of transport distances between measures' by Dolbeault, Nazaret and Savaré (http://link.springer.com/article/10.1007%2F …