Monge Ampáere equation: applications to geometry and optimization : NSF-CBMS Conference on the Monge Ampáere Equation, Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University - 226

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.