Free Access
Issue |
ESAIM: COCV
Volume 22, Number 1, January-March 2016
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Page(s) | 169 - 187 | |
DOI | https://doi.org/10.1051/cocv/2014069 | |
Published online | 15 January 2016 |
- L. Ambrosio, N. Gigli, and G. Savaré, Gradient Flows in Metric Spaces and in the Space of Probability Measures. Lect. Math. ETH Zürich 2nd edition. Birkhäuser Verlag, Basel (2008). [Google Scholar]
- H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. North-Holland Mathematics Studies, No. 5. Notas de Matemática (50). North-Holland Publishing Co., Amsterdam (1973). [Google Scholar]
- H. Brézis and A. Pazy, Convergence and approximation of semigroups of nonlinear operators in Banach spaces. J. Functional Analysis 9 (1972) 63–74. [CrossRef] [MathSciNet] [Google Scholar]
- E.A. Carlen and K. Craig, Contraction of the proximal map and generalized convexity of the Moreau−Yosida regularization in the 2-Wasserstein metric. Math. Mech. Complex Systems 1 (2013) 33–65. [CrossRef] [Google Scholar]
- J.A. Carrillo, M. Di Francesco, A. Figalli, T. Laurent, and D. Slepčev, Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations. Duke Math. J. 156 (2011) 229–271. [CrossRef] [MathSciNet] [Google Scholar]
- J. A. Carrillo, M. Di Francesco, A. Figalli, T. Laurent and D. Slepčev, Confinement in nonlocal interaction equations. Nonlin. Anal. 75 (2012) 550–558. [CrossRef] [Google Scholar]
- Ph. Clément and W. Desch, A Crandall-Liggett approach to gradient flows in metric spaces. J. Abstr. Differ. Equ. Appl. 1 (2010) 46–60. [MathSciNet] [Google Scholar]
- M.G. Crandall, Semigroups of nonlinear transformations in Banach spaces. In Contributions to nonlinear functional analysis Proc. of Sympos., Math. Res. Center, Univ. Wisconsin, Madison. Publ. Math. Res. Center Univ. Wisconsin, No. 27. Academic Press, New York (1971) 157–179. [Google Scholar]
- M.G. Crandall and T.M. Liggett, Generation of semi-groups of nonlinear transformations on general Banach spaces. Amer. J. Math. 93 (1971) 265–298. [CrossRef] [MathSciNet] [Google Scholar]
- N. Gigli, On the inverse implication of Brenier-McCann theorems and the structure of (P2(M),W2). Methods Appl. Anal. 18 (2011) 127–158. [CrossRef] [MathSciNet] [Google Scholar]
- J. Jost, Convex functionals and generalized harmonic maps into spaces of nonpositive curvature. Comment. Math. Helv. 70 (1995) 659–673. [CrossRef] [MathSciNet] [Google Scholar]
- U.F. Mayer, Gradient flows on nonpositively curved metric spaces and harmonic maps. Comm. Anal. Geom. 6 (1998) 199–253. [CrossRef] [MathSciNet] [Google Scholar]
- R.J. McCann, Existence and uniqueness of monotone measure-preserving maps. Duke Math. J. 80 (1995) 309–323. [CrossRef] [MathSciNet] [Google Scholar]
- F. Otto, Doubly degenerate diffusion equations as steepest descent, manuscript (1996). [Google Scholar]
- F. Otto, The geometry of dissipative evolution equations: the porous medium equation. Commun. Partial Differ. Equ. 26 (2001) 101–174. [Google Scholar]
- S. Rasmussen, Non-linear Semi-Groups, Evolution Equations and Product Integral Representations. Aarhus Universitet (1971). [Google Scholar]
- J. Rulla, Error analysis for implicit approximations to solutions to Cauchy problems. SIAM J. Numer. Anal. 33 (1996) 68–87. [CrossRef] [MathSciNet] [Google Scholar]
- K. Yosida, Functional Analysis. Classics in Mathematics. Springer-Verlag, Berlin (1995). Reprint of the sixth edition (1980). [Google Scholar]
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