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. Published by Elsevier Inc.
On a class of first order Hamilton-Jacobi equations in metric spaces
AMBROSIO, Luigi;
2014
Abstract
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. Published by Elsevier Inc.File in questo prodotto:
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