Clément, P. and Desch, W.:
Some Remarks on the Equivalence Between Metric Formulations of Gradient Flows
Bollettino dell'Unione Matematica Italiana Serie 9 3 (2010), fasc. n.3, p. 583-588, (English)
pdf. | MR 2742782 | Zbl 1217.49009
Sunto
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.
Referenze Bibliografiche
[1]
L. AMBROSIO -
N. GIGLI -
G. SAVARÉ,
Gradient Flows in Metric Spaces and in the Space of Probability Measures,
Lectures in Mathematics,
ETH Zürich, Birkhäuser Verlag, Basel
2005. |
MR 2129498[2]
P. BÉNILAN,
Solutions intégrales d'équations d'évolution dans un espace de Banach,
C. R. Acad. Sci. Paris Sér., A-B
274 (
1972), A47-A50. |
MR 300164 |
Zbl 0246.47068[3] PH. CLÉMENT, Introduction to Gradient Flows in Metric Spaces (II), https://igk.math.uni-bielefeld.de/study-materials/notes-clement-part2.pdf.
[4]
S. DANERI -
G. SAVARÉ ,
Eulerian calculus for the displacement convexity in the Wasserstein distance,
SIAM J. Math. Anal.,
40 (
2008), 1104-1122. |
fulltext (doi) |
MR 2452882 |
Zbl 1166.58011
Con il contributo del Ministero per i Beni e le Attività Culturali