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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, Cedric Villani, Sandro Salsa.
- Format:
- Book
- Author/Creator:
- Ambrosio, Luigi, author.
- Caffarelli, Luis A., author.
- Brenier, Yann, author.
- Buttazzo, Giuseppe, author.
- Villani, Cédric, 1973- author.
- Salsa, S., author.
- Series:
- Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries ; 1813.
- C.I.M.E. Foundation Subseries ; 1813
- Language:
- English
- Subjects (All):
- Differential equations, Partial.
- Discrete groups.
- Global differential geometry.
- Mathematical optimization.
- Distribution (Probability theory).
- Partial Differential Equations.
- Convex and Discrete Geometry.
- Differential Geometry.
- Calculus of Variations and Optimal Control; Optimization.
- Probability Theory and Stochastic Processes.
- Local Subjects:
- Partial Differential Equations.
- Convex and Discrete Geometry.
- Differential Geometry.
- Calculus of Variations and Optimal Control; Optimization.
- Probability Theory and Stochastic Processes.
- Physical Description:
- 1 online resource (VIII, 169 pages 4 illustrations).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540448570
- Access Restriction:
- Restricted for use by site license.
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