Optimal Transport in Competition with Reaction: The Hellinger--Kantorovich Distance and Geodesic Curves

DOI10.1137/15M1041420zbMath1347.49078arXiv1509.00068WikidataQ59901572 ScholiaQ59901572MaRDI QIDQ2817447

Matthias Liero, Alexander Mielke, Giuseppe Savaré

Publication date: 31 August 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00068

zbMATH Keywords

reaction-diffusion equations optimal transport geodesic curves dissipation distance Hellinger-Kantorovich distance Onsager operator cone space

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Variational problems in a geometric measure-theoretic setting (49Q20) Variational principles in infinite-dimensional spaces (58E30) Spaces of measures, convergence of measures (28A33) Spaces of measures (46E27) Optimality conditions for problems involving relations other than differential equations (49K21)

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