Monge Ampere Equation NSF-CBMS Conference on the Monge Ampaere Equation, Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University : Applications to Geometry and Optimiza

ISBN-13: 9780821809174 / Angielski / Miękka / 1998 / 172 str.

Opis

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.