Monge Ampere Equation: Applications to Geometry and Optimization PDF Download

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Monge Ampere Equation: Applications to Geometry and Optimization

Monge Ampere Equation: Applications to Geometry and Optimization PDF Author: Luis A. Caffarelli
Publisher: American Mathematical Soc.
ISBN: 0821809172
Category : Mathematics
Languages : en
Pages : 186

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Book Description
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.