Accepted Paper

Inserted: 3 feb 2024
Last Updated: 25 jul 2024

Journal: SIAM J. Math. An.
Year: 2024

Abstract:

We prove an existence result for a large class of PDEs with a nonlinear Wasserstein gradient flow structure. We use the classical theory of Wasserstein gradient flow to derive an EDI formulation of our PDE and prove that under some integrability assumptions on the initial condition the PDE is satisfied in the sense of distributions.

Tags: EYAWKAJKOS

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