!!Luigi Ambrosio - Selected publications
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__BOOKS__\\
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[[1] Functions of Bounded Variation and Free Discontinuity Problems.\\
(with N.Fusco and D.Pallara) Oxford University Press, 2000.
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[[2] Gradient flows in metric spaces and in the space of Probability measures. (with N.Gigli and G.Savarè)\\
Lectures in Mathematics ETH Zurich, Birkhäuser, 2005, second edition in 2008.
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__PAPERS__
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[[1] Existence theory for a new class of variational problems, Archive for Rational Mechanics Analysis, __111__, 291-322, 1990.
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[[2] Metric space valued functions of bounded variation,\\
Annali della Scuola Normale Superiore, __17__, 439-478, 1990.
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[[3] Approximation of functionals depending on jumps by elliptic functionals via $\Gamma$-convergence (with V.M.Tortorelli),\\
Communications on Pure and Applied Mathematics, __43__, 999-1036, 1990.
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[[4] A level set approach for the evolution of surfaces of any codimension\\
(with H.M.Soner), J. Diff. Geom.  __43__ (1996), 693-737.
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[[5] Partial regularity of free discontinuity sets II (with N.Fusco, D.Pallara),\\
Ann. Scuola Norm. Sup. Pisa, __24__ (1997), 39-62.
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[[6] Currents in metric spaces. (with B.Kirchheim) Acta Mathematica, __185__ (2000), 1-80.
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[[7] Transport equation and Cauchy probem for $BV$ vector fields. Inventiones Mathematicae, {\bf 158} (2004), 227-260.
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[[8] Calculus and heat flow in metric measure spaces and applications to spaces with ricci bounds from below.\\
(with N.Gigli, G.Savarè) 2011, to appear on Inventiones Mathematicae, 100pp.