Monge Ampere Equation Applications To Geometry And Optimization

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Monge Ampere Equation: Applications to Geometry and Optimization

Monge Ampere Equation: Applications to Geometry and Optimization
Author :
Publisher : American Mathematical Soc.
Total Pages : 186
Release :
ISBN-10 : 9780821809174
ISBN-13 : 0821809172
Rating : 4/5 (172 Downloads)

Book Synopsis Monge Ampere Equation: Applications to Geometry and Optimization by : Luis A. Caffarelli

Download or read book Monge Ampere Equation: Applications to Geometry and Optimization written by Luis A. Caffarelli and published by American Mathematical Soc.. This book was released on 1999 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the Monge Ampère Equation has received attention for its role in several new areas of applied mathematics: as a new method of discretization for evolution equations of classical mechanics, such as the Euler equation, flow in porous media, Hele-Shaw flow, etc.; as a simple model for optimal transportation and a div-curl decomposition with affine invariance; and as a model for front formation in meteorology and optimal antenna design. These applications were addressed and important theoretical advances presented at a NSF-CBMS conference held at Florida Atlantic University (Boca Raton). L. Cafarelli and other distinguished specialists contributed high-quality research results and up-to-date developments in the field. This is a comprehensive volume outlining current directions in nonlinear analysis and its applications.


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