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Fine Properties of Geodesics and Geodesic [Formula: see text] -Convexity for the Hellinger–Kantorovich Distance

We study the fine regularity properties of optimal potentials for the dual formulation of the Hellinger–Kantorovich problem ([Formula: see text] ), providing sufficient conditions for the solvability of the primal Monge formulation. We also establish new regularity properties for the solution of the...

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Detalles Bibliográficos
Autores principales: Liero, Matthias, Mielke, Alexander, Savaré, Giuseppe
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10687252/
https://www.ncbi.nlm.nih.gov/pubmed/38046049
http://dx.doi.org/10.1007/s00205-023-01941-1