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The Monge-Ampere Equation
Cristian E. Gutierrez
€ 227.53
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Description for The Monge-Ampere Equation
Hardback. Series: Progress in Nonlinear Differential Equations and Their Applications. Num Pages: 230 pages, 3 black & white illustrations, 3 colour illustrations, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 165 x 292 x 19. Weight in Grams: 504.
Now in its second edition, this monograph explores the Monge-Ampere 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 ... Read more
Now in its second edition, this monograph explores the Monge-Ampere 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 ... Read more
Product Details
Format
Hardback
Publication date
2016
Publisher
Birkhäuser
Condition
New
Series
Progress in Nonlinear Differential Equations and Their Applications
Number of Pages
216
Place of Publication
Basel, Switzerland
ISBN
9783319433721
SKU
V9783319433721
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Cristian E. Gutierrez
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.
Reviews for The Monge-Ampere Equation
Very clear monograph that will be useful in stimulating new researches on the Monge-Ampere equation, its connections with several research areas and its applications. (Vincenzo Vespri, zbMATH 1356.35004, 2017)