Wasserstein gradient flow of the Fisher information from a non-smooth convex minimization viewpoint
Daniel Matthes, Jean-David Benamou, Guillaume Carlier
Publication date: 22 April 2024
Published in: Journal of Convex Analysis (Search for Journal in Brave)
Numerical optimization and variational techniques (65K10) Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Statistical mechanics of semiconductors (82D37) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Finite difference methods for boundary value problems involving PDEs (65N06) Information theory (general) (94A15) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Higher-order parabolic equations (35K25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)
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