Articles liés à The Monge-ampère Equation
Synopsis
Generalized Solutions to Monge-Ampère Equations.- Uniformly Elliptic Equations in Nondivergence Form.- The Cross-sections of Monge-Ampère.- Convex Solutions of detDu=1 in Rn.- Regularity Theory for the Monge-Ampère Equation.- W^2, p Estimates for the Monge-Ampère Equation.- The Linearized Monge-Ampère Equation.- Interior Hölder Estimates for Second Derivatives.- References.- Index.
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À propos de l?auteur
Cristian Gutierrez is a Professor in the Department of Mathematics at Temple University in Philadelphia, PA, USA. He teaches courses in Partial Differential Equations and Analysis.
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The Monge-Ampère Equation (Progress in Nonlinear Differential Equations and Their Applications, 89)
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The Monge-Ampère Equation
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Springer International Publishing Nov 2016, 2016
ISBN 10 : 3319433725
ISBN 13 : 9783319433721
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Now in its second edition, this monograph explores the Monge-Ampère 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-Ampère equation and a chapter on interior Hölder 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-Ampère-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. 232 pp. Englisch. N° de réf. du vendeur 9783319433721
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The Monge-Ampere Equation Second Edition (Progress in Nonlinear Differential Equations and Their Applications, 89)
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Etat : Fine. 2nd edition, 216 pp., Hardcover, previous owner's small hand stamp to front free endpaper else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. N° de réf. du vendeur ZB1322519
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The Monge-Ampère Equation
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Springer International Publishing, 2016
ISBN 10 : 3319433725
ISBN 13 : 9783319433721
Neuf
Couverture rigide
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The Monge-Ampère Equation
ISBN 10 : 3319433725
ISBN 13 : 9783319433721
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Couverture rigide
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Now in its second edition, this monograph explores the Monge-Ampère 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-Ampère equation and a chapter on interior Hölder 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-Ampère-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. N° de réf. du vendeur 9783319433721
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The Monge-Ampère Equation
ISBN 10 : 3319433725
ISBN 13 : 9783319433721
Neuf
Couverture rigide
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Now in its second edition, this monograph explores the Monge-Ampère 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-Ampère equation and a chapter on interior Hölder 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-Ampère-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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 232 pp. Englisch. N° de réf. du vendeur 9783319433721
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The Monge-Ampère Equation (Progress in Nonlinear Differential Equations and Their Applications, 89)
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Birkhäuser, 2016
ISBN 10 : 3319433725
ISBN 13 : 9783319433721
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The Monge-Ampère Equation (Progress in Nonlinear Differential Equations and Their Applications, 89)
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The Monge-Amp?re Equation (Progress in Nonlinear Differential Equations and Their Applications (89))
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The Monge-Amp?re Equation (Progress in Nonlinear Differential Equations and Their Applications (89))
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Springer (India) Private Limited, 2016
ISBN 10 : 3319433725
ISBN 13 : 9783319433721
Neuf
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