Luis A Caffarelli 
Monge Ampere Equation [PDF ebook] 
Applications to Geometry and Optimization

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In recent years, the Monge Ampere 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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Format PDF ● Pages 172 ● ISBN 9780821878170 ● Éditeur Luis A Caffarelli ● Maison d’édition American Mathematical Society ● Publié 2011 ● Téléchargeable 3 fois ● Devise EUR ● ID 6557477 ● Protection contre la copie Adobe DRM
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