Monge Ampere Equation: Applications to Geometry and Optimization: Nsf-Cbms Conference on the Monge Ampere Equation, Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University
Monge Ampere Equation: Applications to Geometry and Optimization: Nsf-Cbms Conference on the Monge Ampere Equation, Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University
The Monge Ampere Equation has received attention for its role in several 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 and others; 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 ...
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The Monge Ampere Equation has received attention for its role in several 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 and others; 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 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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