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The Monge-Ampère equation and its applications / Alessio Figalli

By: Resource type: Ressourcentyp: BuchBookLanguage: English Series: Zurich lectures in advanced mathematicsPublisher: Zürich : European Mathematical Society, [2017]Copyright date: © 2017Description: x, 200 Seiten : Illustrationen ; 24 cmISBN:
  • 9783037191705
Subject(s): Additional physical formats: 9783037196700 | Erscheint auch als: The Monge-Ampère equation and its applications. Online-Ausgabe Zürich : European Mathematical Society, 2017. 1 Online-Ressource (x, 200 Seiten)DDC classification:
  • 515.353 23
  • 510
MSC: MSC: 35J96 | 35B65 | 35J60 | 35J66 | 35B45 | 35B50 | 35D05 | 35D10 | 35J65 | 53A15 | 53C45RVK: RVK: SK 560 | SK 950LOC classification:
  • QA377
Summary: "The Monge-Ampère equation is one of the most important partial differential equations, appearing in many problems in analysis and geometry. This monograph is a comprehensive introduction to the existence and regularity theory of the Monge-Ampère equation and some selected applications; the main goal is to provide the reader with a wealth of results and techniques he or she can draw from to understand current research related to this beautiful equation. The presentation is essentially self-contained, with an appendix wherein one can find precise statements of all the results used from different areas (linear algebra, convex geometry, measure theory, nonlinear analysis, and PDEs). This book is intended for graduate students and researchers interested in nonlinear PDEs: explanatory figures, detailed proofs, and heuristic arguments make this book suitable for self-study and also as a reference." --Summary: Introduction -- Alexandrov solutions -- Smooth solutions -- Interior regularity of weak solutions -- Further results and extensionsPPN: PPN: 871751399
Holdings
Item type Home library Shelving location Call number Status Barcode
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Dgln / Fig Available 36525475090
Total holds: 0
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