GEMETHNES erc

On a class of first order Hamilton-Jacobi equations in metric spaces

Ambrosio Luigi - Feng Jin

submitted
year: 2013
abstract: We establish well-posedness of a class of first order Hamilton-Jacobi equation in geodesic metric spaces. The result is then applied to a Hamilton-Jacobi equation in the Wasserstein space of probability measures, which arises from the variational formulation of a compressible Euler equation.

The paper is available on the cvgmt preprint server.