Optimal transportation and applications : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2-8, 2001

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

L. Ambrosio ... [et al.] ; editors, L.A. Caffarelli, S. Salsa

(Lecture notes in mathematics, 1813 . Fondazione C.I.M.E., Firenze)

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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詳細情報

  • NII書誌ID(NCID)
    BA62724047
  • ISBN
    • 354040192X
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin ; Tokyo
  • ページ数/冊数
    viii, 169 p.
  • 大きさ
    24 cm
  • 親書誌ID
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