Monge Ampere Equation: Applications to Geometry and Optimization

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  • Monge Ampere Equation: Applications to Geometry and Optimization Book Detail

  • Author : Luis A. Caffarelli
  • Release Date : 1999
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 186
  • ISBN 13 : 0821809172
  • File Size : 17,17 MB

Monge Ampere Equation: Applications to Geometry and Optimization by Luis A. Caffarelli PDF Summary

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.

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The Monge-Ampère equation has attracted considerable interest in recent years because of its important role in several areas of applied mathematics. Monge-Amp�

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File Size : 15,15 MB
Total View : 4394 Views
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The Monge-Ampère equation has attracted considerable interest in recent years because of its important role in several areas of applied mathematics. Monge-Amp�