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Luigi Ambrosio (* 27. Januar 1963 in Alba) ist ein italienischer Mathematiker, der sich mit Analysis beschäftigt. Ambrosio studierte ab 1981 Mathematik an der Universität Pisa, wo er 1985 bei Ennio de Giorgi summa cum laude sein Diplom (Laurea) machte und bis 1988 sein Promotionsstudium an der Scuola Normale Superiore fortsetzte ...
Luigi Ambrosio is a renowned mathematician and the Director of the Scuola Normale Superiore. He has made significant contributions to Calculus of Variations, Geometric Measure Theory, Optimal Transport Theory, and Partial Differential Equations.
Luigi Ambrosio (born 27 January 1963) is a professor at Scuola Normale Superiore in Pisa, Italy. His main fields of research are the calculus of variations and geometric measure theory.
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. L Ambrosio, N Gigli, G Savaré. Inventiones mathematicae 195 (2), 289-391. , 2014. 482. 2014. Currents in metric spaces. L Ambrosio, B Kirchheim. 482.
Luigi Ambrosio. [ambrosio] Full Professor, SNS Pisa. Email:ambrosio AT sns.it. Available papers (151): [plain text] L. Ambrosio - T. Ikonen - D. Lučić - E. Pasqualetto (preprint) Metric Sobolev spaces I: equivalence of definitions (2024)
A book on the theory of elliptic partial differential equations and calculus of variations, based on the course by Luigi Ambrosio at the Scuola Normale Superiore. It includes topics such as Sobolev spaces, regularity, viscosity solutions and systems.
A textbook on optimal transport and its applications, based on the teaching experience of Luigi Ambrosio at the Scuola Normale Superiore. The book covers classical and advanced topics, such as gradient flows, calculus of variations, geometric inequalities and PDEs.
