Now in its second edition, this monograph explores the Monge-Amp�re equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli. The geometric aspects of this theory are stressed using techniques from harmonic analysis, such as covering lemmas and set decompositions. An effort is made to present complete proofs of all theorems, and examples and exercises are offered to ...
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Now in its second edition, this monograph explores the Monge-Amp�re equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli. The geometric aspects of this theory are stressed using techniques from harmonic analysis, such as covering lemmas and set decompositions. An effort is made to present complete proofs of all theorems, and examples and exercises are offered to further illustrate important concepts. Some of the topics considered include generalized solutions, non-divergence equations, cross sections, and convex solutions. New to this edition is a chapter on the linearized Monge-Amp�re equation and a chapter on interior H�lder estimates for second derivatives. Bibliographic notes, updated and expanded from the first edition, are included at the end of every chapter for further reading on Monge-Amp�re-type equations and their diverse applications in the areas of differential geometry, the calculus of variations, optimization problems, optimal mass transport, and geometric optics. Both researchers and graduate students working on nonlinear differential equations and their applications will find this to be a useful and concise resource.
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Add this copy of The Monge-Ampere Equation to cart. $92.03, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2016 by Birkhauser Verlag AG.
Add this copy of The Monge-Ampère Equation to cart. $196.87, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2016 by Birkhauser Verlag AG.
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New. Print on demand Contains: Illustrations, black & white, Illustrations, color. Progress in Nonlinear Differential Equations and Their Applications . XIV, 216 p. 6 illus., 3 illus. in color. Intended for professional and scholarly audience.
Add this copy of The Monge-Ampère Equation (Progress in Nonlinear to cart. $93.39, like new condition, Sold by Dotcom liquidators / dc1 rated 4.0 out of 5 stars, ships from Fort Worth, TX, UNITED STATES, published 2016 by Birkhauser Verlag AG.
