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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 390, Pages 147–181 (Mi znsl4549)  
This article is cited in 19 scientific papers (total in 19 papers)

A description of transport cost for signed measures

E. Mainini

Dipartimento di Matematica "F. Casorati", Università degli Studi di Pavia, Pavia, Italy
Full-text PDF (486 kB) Citations (19)
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Abstract: In this paper we develop the analysis of [3] about the extension of the optimal transport framework to the space of real measures. The main motivation comes from the study of nonpositive solutions to some evolution PDEs. Although a canonical optimal transport distance does not seem to be available, we may describe the cost for transporting signed measures in various ways and with interesting properties.
Key words and phrases: Monge–Kantorovich problem, optimal transport, Wasserstein distance, signed measures, transport cost.
Received: 22.09.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 181, Issue 6, Pages 837–855
DOI: https://doi.org/10.1007/s10958-012-0718-2
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: English
Citation: E. Mainini, “A description of transport cost for signed measures”, Representation theory, dynamical systems, combinatorial methods. Part XX, Zap. Nauchn. Sem. POMI, 390, POMI, St. Petersburg, 2011, 147–181; J. Math. Sci. (N. Y.), 181:6 (2012), 837–855
Citation in format AMSBIB
\Bibitem{Mai11}
\by E.~Mainini
\paper A description of transport cost for signed measures
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XX
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 390
\pages 147--181
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4549}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 181
\issue 6
\pages 837--855
\crossref{https://doi.org/10.1007/s10958-012-0718-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84858751042}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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