By Filippo Santambrogio

ISBN-10: 3319208276

ISBN-13: 9783319208275

ISBN-10: 3319365819

ISBN-13: 9783319365817

This monograph offers a rigorous mathematical advent to optimum shipping as a variational challenge, its use in modeling a variety of phenomena, and its connections with partial differential equations. Its major objective is to supply the reader with the thoughts essential to comprehend the present examine in optimum shipping and the instruments that are most dear for its applications. Full proofs are used to demonstrate mathematical strategies and every bankruptcy contains a part that discusses functions of optimum delivery to varied parts, reminiscent of economics, finance, capability video games, photograph processing and fluid dynamics. Several subject matters are coated that experience by no means been formerly in books in this topic, comparable to the Knothe delivery, the houses of functionals on measures, the Dacorogna-Moser movement, the formula through minimal flows with prescribed divergence formula, the case of the supremal rate, and the main classical numerical methods. Graduate scholars and researchers in either natural and utilized arithmetic drawn to the issues and purposes of optimum shipping will locate this to be a useful resource.

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Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling (Progress in Nonlinear Differential Equations and Their Applications) by Filippo Santambrogio


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