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＜電子ブック＞
Optimal Transportation and Applications : Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2–8, 2001 / by Luigi Ambrosio, Luis A. Caffarelli, Yann Brenier, Giuseppe Buttazzo, Cédric Villani ; edited by Luis A. Caffarelli, Sandro Salsa
(C.I.M.E. Foundation Subseries. ISSN:29461820 ; 1813)

版	1st ed. 2003.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2003
本文言語	英語
大きさ	VIII, 169 p. 4 illus : online resource
著者標目	*Ambrosio, Luigi author Caffarelli, Luis A author Brenier, Yann author Buttazzo, Giuseppe author Villani, Cédric author Caffarelli, Luis A editor Salsa, Sandro editor SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Convex geometry  LCSH:Discrete geometry LCSH:Geometry, Differential LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Probabilities FREE:Differential Equations FREE:Convex and Discrete Geometry FREE:Differential Geometry FREE:Calculus of Variations and Optimization FREE:Probability Theory
一般注記	Preface -- L.A. Caffarelli: The Monge-Ampère equation and Optimal Transportation, an elementary view -- G. Buttazzo, L. De Pascale: Optimal Shapes and Masses, and Optimal Transportation Problems -- C. Villani: Optimal Transportation, dissipative PDE's and functional inequalities -- Y. Brenier: Extended Monge-Kantorowich Theory -- L. Ambrosio, A. Pratelli: Existence and Stability results in the L1 Theory of Optimal Transportation Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampère and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view. The volume is designed to become a guide to researchers willing to enter into this challenging and useful theory HTTP:URL=https://doi.org/10.1007/b12016

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