Monge Ampère equation : applications to geometry and optimization : NSF-CBMS Conference on the Monge Ampère Equation : Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University
著者
書誌事項
Monge Ampère equation : applications to geometry and optimization : NSF-CBMS Conference on the Monge Ampère Equation : Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University
（Contemporary mathematics, v. 226）
American Mathematical Society, c1999
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
A numerical method for the optimal time-continuous mass transport problem and related problems by J.-D. Benamou and Y. Brenier On the numerical solution of the problem of reflector design with given far-field scattering data by L. A. Caffarelli, S. A. Kochengin, and V. I. Oliker Applications of the Monge-Ampere equation and Monge transport problem to meterology and oceanography by M. J. P. Cullen and R. J. Douglas Growth of a sandpile around an obstacle by M. Feldman The Monge mass transfer problem and its applications by W. Gangbo Gradient estimates for solutions of nonparametric curvature evolution with prescribed contact angle condition by B. Guan An extension of the Kantorovich norm by L. G. Hanin Optimal locations and the mass transport problem by M. McAsey and L. Mou A generalized Monge-Ampere equation arising in compressible flow by E. Newman and L. P. Cook Self-similar solutions of Gauss curvature flows by J. Urbas.
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