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The Monge—Ampère Equation (Progress in Nonlinear Differential Equations and Their Applications) - Softcover
Synopsis
Reflects recent developments related to the Monge-Ampere equation stressing the geometric aspects of the theory, using some techniques from harmonic analysis---covering lemmas and set decompositions. Essentially self-contained, 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. A concise and useful book for graduate students and researchers in the field of nonlinear equations.
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- PublisherBirkhäuser
- Publication date2012
- ISBN 10 1461266564
- ISBN 13 9781461266563
- BindingPaperback
- LanguageEnglish
- Number of pages143
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The Monge?Ampère Equation (Progress in Nonlinear Differential Equations and Their Applications)
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The Monge?Ampère Equation (Progress in Nonlinear Differential Equations and Their Applications)
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The Monge-Ampere Equation
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The Monge-Amp?re Equation
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The Monge-Ampère Equation
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ISBN 10: 1461266564
ISBN 13: 9781461266563
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In recent years, the study of the Monge-Ampere equation has received consider able attention and there have been many important advances. As a consequence there is nowadays much interest in this equation and its applications. This volume tries to reflect these advances in an essentially self-contained systematic exposi tion of the theory of weak: solutions, including recent regularity results by L. A. Caffarelli. The theory has a geometric flavor and uses some techniques from har monic analysis such us covering lemmas and set decompositions. An overview of the contents of the book is as follows. We shall be concerned with the Monge-Ampere equation, which for a smooth function u, is given by (0.0.1) There is a notion of generalized or weak solution to (0.0.1): for u convex in a domain n, one can define a measure Mu in n such that if u is smooth, then Mu 2 has density det D u. Therefore u is a generalized solution of (0.0.1) if M u = f. Seller Inventory # 9781461266563
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