On a Class of First Order Hamilton-jacobi Equations in Metric Spaces

@inproceedings{Ambrosio2013OnAC,
  title={On a Class of First Order Hamilton-jacobi Equations in Metric Spaces},
  author={Luigi Ambrosio},
  year={2013}
}
We establish well-posedness of a class of first order Hamilton-Jacobi equation in geodesic metric spaces. The result is then applied to solve a Hamilton-Jacobi equation in the Wasserstein space of probability measures, which arises from the variational formulation of a compressible Euler equation. 

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