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