Optimal Transportation and Applications [electronic resource] : 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.

By:

Ambrosio, Luigi [author.]

Contributor(s):

Material type: Text

TextSeries: C.I.M.E. Foundation Subseries ; 1813Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003Description: VIII, 169 p. 4 illus. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540448570

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

515.353 23

LOC classification:

QA370-380

Online resources:

Click here to access online

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.

In: Springer eBooksSummary: 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.

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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.

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