Optimal transportation and applications : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2-8, 2001
著者
書誌事項
Optimal transportation and applications : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2-8, 2001
（Lecture notes in mathematics, 1813 . Fondazione C.I.M.E.,
Springer, c2003
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注記
Includes bibliographical references
内容説明・目次
内容説明
Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampere 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.
目次
Preface.- L.A. Caffarelli: The Monge-Ampere 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.
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