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The Monge-Ampère Equation

Name: The Monge-Ampère Equation
Brand: Springer, Basel
SKU: 01399285
Price: 153.25 EUR
Availability: InStock
Author: Cristian E. Gutierrez
ISBN: 9780817641771

Cristian E. Gutierrez

Language

English

Book Hardback

Libristo code: 01399285

Publishers Springer, Basel, November 2000

The classical Monge-Ampere equation has been the center of considerable interest in recent years bec... Full description

Libristo code: 01399285

373 b

153.25 €

299.73 лв

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The classical Monge-Ampere equation has been the center of considerable interest in recent years because of its important role in several areas of applied mathematics. In reflecting these developments, this works stresses the geometric aspects of this beautiful theory, using some techniques from harmonic analysis - covering lemmas and set decompositions. Moreover, Monge-Ampere type equations have applications in the areas of differential geometry, the calculus of variations, and several optimization problems, such as the Monge-Kantorovitch mass transfer problem. The book is an essentially self-contained exposition of the theory of weak solutions, including the regularity results of L.A. Caffarelli. The presentation unfolds systematically from introductory chapters, and an effort is made to present complete proofs of all theorems. Included are examples, illustrations, bibliographical references at the end of each chapter, and a comprehensive index. Topics covered include: - Generalized Solutions - Non-divergence Equations - The Cross-Sections of Monge-Ampere - Convex Solutions of D^2u = 1 in R^n - Regularity Theory - W^2, p Estimates The Monge-Ampere Equation is a concise and useful book for graduate students and researchers in the field of nonlinear equations