The Monge-Ampère equation and its applications / Alessio Figalli

Von:

Figalli, Alessio, 1984- [VerfasserIn]

Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: Zurich lectures in advanced mathematicsVerlag: Zürich : European Mathematical Society, [2017]Copyright-Datum: © 2017Beschreibung: x, 200 Seiten : Illustrationen ; 24 cmISBN:

9783037191705

Schlagwörter:

Andere physische Formen: 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-Klassifikation:

515.353 23
510

MSC: MSC: 35J96 | 35B65 | 35J60 | 35J66 | 35B45 | 35B50 | 35D05 | 35D10 | 35J65 | 53A15 | 53C45RVK: RVK: SK 560 | SK 950LOC-Klassifikation:

QA377

Zusammenfassung: "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." --Zusammenfassung: Introduction -- Alexandrov solutions -- Smooth solutions -- Interior regularity of weak solutions -- Further results and extensionsPPN: PPN: 871751399

Exemplare ( 1 )

Exemplare
Medientyp	Heimatbibliothek	Standort	Signatur	Status	Barcode
Freihandbestand ausleihbar	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Dgln / Fig	Verfügbar	36525475090

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