Free Delivery Over $100
|
|
|||
|
||||
OverviewIn this monograph, the interplay between geometry and partial differential equations (PDEs) is of particular interest. It gives a selfcontained introduction to research in the last decade concerning global problems in the theory of submanifolds, leading to some types of Monge-Ampere equations.From the methodical point of view, it introduces the solution of certain Monge-Ampere equations via geometric modeling techniques. Here geometric modeling means the appropriate choice of a normalization and its induced geometry on a hypersurface defined by a local strongly convex global graph. For a better understanding of the modeling techniques, the authors give a selfcontained summary of relative hypersurface theory, they derive important PDEs (e.g. affine spheres, affine maximal surfaces, and the affine constant mean curvature equation). Concerning modeling techniques, emphasis is on carefully structured proofs and exemplary comparisons between different modelings. Full Product DetailsAuthor: An-min Li (Sichuan Univ, China) , Fang Jia (Sichuan Univ, China) , Udo Simon (Technische Univ Of Berlin, Germany) , Ruiwei Xu (Henan Normal Univ, China)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Dimensions: Width: 16.80cm , Height: 1.80cm , Length: 24.90cm Weight: 0.567kg ISBN: 9789812814166ISBN 10: 9812814167 Pages: 192 Publication Date: 28 April 2010 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsLocal Equiaffine Hypersurface Theory; Pogorelov's Theorem; Affine Maximal Hypersurfaces.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
