Optimal Transportation and Applications

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2–8, 2001

AvLuigi Ambrosio,Luis A. Caffarelli

Häftad, Engelska, 2003

Del 1813 i serien Lecture Notes in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2003-06-12
Mått:155 x 235 x 11 mm
Vikt:283 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:169
Upplaga:2003
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540401926

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Innehållsförteckning

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.