000			01536nam a22002177a 4500
003			OSt
005			20241004160444.0
008			241004b |||||||| |||| 00| 0 eng d
020			_a9783030721619
100			_aAmbrosio, Luigi
245			_aLectures on Optimal Transport/ _cLuigi Ambrosio; Elia Brue; Daniele Semola
260			_aSwitzerland: _bSpringer Nature, _c2021.
300			_aix,250 p.
490			_aUnitext 130
500			_aUNITEXT - La Matematica per il 3+2
505			_aPreliminary Notions and the Mongre Problem The Kantorovich Problem The Kantorovich- Rubinstein Duality Necessary and sufficient optimality conditions
520			_aThis textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability and optimal transport. It originated from the teaching experience of the first author in the Scuola Normale Superiore, where a course on optimal transport and its applications has been given many times during the last 20 years. The topics and the tools were chosen at a sufficiently general and advanced level so that the student or scholar interested in a more specific theme would gain from the book the necessary background to explore it. After a large and detailed introduction to classical theory, more specific attention is devoted to applications to geometric and functional inequalities and to partial differential equations.
650			_aOptimal Transport
700			_aBrue, Elia
942			_2ddc _cBK _e23rd ed. _kAMB _m519
999			_c23130 _d23130