Some Remarks on the Equivalence Between Metric Formulations of Gradient Flows
Bollettino dell'Unione Matematica Italiana (2010)
- Volume: 3, Issue: 3, page 583-588
- ISSN: 0392-4041
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topClément, P., and Desch, W.. "Some Remarks on the Equivalence Between Metric Formulations of Gradient Flows." Bollettino dell'Unione Matematica Italiana 3.3 (2010): 583-588. <http://eudml.org/doc/290648>.
@article{Clément2010,
abstract = {The aim of this short note is to prove the equivalence of certain definitions of solutions to an evolution variational inequality in metric spaces, introduced by Ambrosio, Gigli, Savaré, and Daneri, Savaré.},
author = {Clément, P., Desch, W.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {583-588},
publisher = {Unione Matematica Italiana},
title = {Some Remarks on the Equivalence Between Metric Formulations of Gradient Flows},
url = {http://eudml.org/doc/290648},
volume = {3},
year = {2010},
}
TY - JOUR
AU - Clément, P.
AU - Desch, W.
TI - Some Remarks on the Equivalence Between Metric Formulations of Gradient Flows
JO - Bollettino dell'Unione Matematica Italiana
DA - 2010/10//
PB - Unione Matematica Italiana
VL - 3
IS - 3
SP - 583
EP - 588
AB - The aim of this short note is to prove the equivalence of certain definitions of solutions to an evolution variational inequality in metric spaces, introduced by Ambrosio, Gigli, Savaré, and Daneri, Savaré.
LA - eng
UR - http://eudml.org/doc/290648
ER -
References
top- AMBROSIO, L. - GIGLI, N. - SAVARÉ, G., Gradient Flows in Metric Spaces and in the Space of Probability Measures, Lectures in Mathematics, ETH Zürich, Birkhäuser Verlag, Basel2005. MR2129498
- BÉNILAN, P., Solutions intégrales d'équations d'évolution dans un espace de Banach, C. R. Acad. Sci. Paris Sér., A-B 274 (1972), A47-A50. Zbl0246.47068MR300164
- CLÉMENT, PH., Introduction to Gradient Flows in Metric Spaces (II), https://igk.math.uni-bielefeld.de/study-materials/notes-clement-part2.pdf.
- DANERI, S. - SAVARÉ, G. , Eulerian calculus for the displacement convexity in the Wasserstein distance, SIAM J. Math. Anal., 40 (2008), 1104-1122. Zbl1166.58011MR2452882DOI10.1137/08071346X
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