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The Monge-Ampere Equation: 44 (Progress in Nonlinear Differential Equations and Their Applications) - Hardcover
Synopsis
The Monge-Ampère equation has attracted considerable interest in recent years because of its important role in several areas of applied mathematics. Monge-Ampère 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. This book stresses the geometric aspects of this beautiful theory, using techniques from harmonic analysis - covering lemmas and set decompositions.
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Synopsis
The classical Monge-Ampere equation has been the centre of considerable interest in recent years because of its newly found role in several areas of applied mathematics. This work reflects these developments, stressing the geometric aspects of this beautiful theory as well as its applications to optimization in particular. The exposition is self-contained and unfolds systematically from introductory chapters. An effort is made to present complete proofs of all theorems. Open problems are suggested throughout, along with examples, illustrations, bibliographical references at the end of each chapter, and an index. This is a concise and useful book for graduate students and researchers in nonlinear equations.
"About this title" may belong to another edition of this title.
- PublisherBirkhauser Boston Inc
- Publication date2001
- ISBN 10 0817641777
- ISBN 13 9780817641771
- BindingHardcover
- LanguageEnglish
- Number of pages143
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The Monge-Ampère equation. Progress in non-linear differential equations and their applications; Bd. 44.
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