Totally dissipative MPVFs on Wasserstein space correspond bijectively to law-invariant dissipative operators in L2, enabling Hilbert space tools for existence/uniqueness of flows and mean-field limits of discrete particle systems.
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A proximal primal-dual scheme computes explicit proximal operators to approximate solutions of generalized JKO gradient flows for a broad family of doubly nonlinear parabolic equations.
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A Lagrangian approach to totally dissipative evolutions in Wasserstein spaces
Totally dissipative MPVFs on Wasserstein space correspond bijectively to law-invariant dissipative operators in L2, enabling Hilbert space tools for existence/uniqueness of flows and mean-field limits of discrete particle systems.
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A Proximal Primal-Dual Approach to Generalized JKO Schemes for Doubly Nonlinear Parabolic Equations
A proximal primal-dual scheme computes explicit proximal operators to approximate solutions of generalized JKO gradient flows for a broad family of doubly nonlinear parabolic equations.