The Monge-Ampère equation and its applications /
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| Author / Creator: | Figalli, Alessio, author. |
|---|---|
| Imprint: | Zürich : European Mathematical Society, [2017] ©2017 Z�urich : European Mathematical Society, [2017] |
| Description: | 1 online resource (x, 200 pages) : illustrations. |
| Language: | English |
| Series: | Zurich lectures in advanced mathematics Zurich lectures in advanced mathematics. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11549100 |
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| 100 | 1 | |a Figalli, Alessio, |e author. | |
| 245 | 1 | 4 | |a The Monge-Ampère equation and its applications / |c Alessio Figalli. |
| 264 | 1 | |a Zürich : |b European Mathematical Society, |c [2017] | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (x, 200 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Zurich lectures in advanced mathematics | |
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed February 22, 2017). | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a 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. | ||
| 505 | 0 | |a Introduction -- Alexandrov solutions -- Smooth solutions -- Interior regularity of weak solutions -- Further results and extensions. | |
| 650 | 0 | |a Monge-Ampère equations. |0 http://id.loc.gov/authorities/subjects/sh85086814 | |
| 650 | 0 | |a Differential equations, Partial. |0 http://id.loc.gov/authorities/subjects/sh85037912 | |
| 650 | 0 | |a Geometry, Differential. |0 http://id.loc.gov/authorities/subjects/sh85054146 | |
| 650 | 0 | |a Mathematical physics. |0 http://id.loc.gov/authorities/subjects/sh85082129 | |
| 650 | 0 | 7 | |a Differential equations. |2 bicssc |
| 650 | 0 | 7 | |a Differential & Riemannian geometry. |2 bicssc |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Partial. |2 fast |0 (OCoLC)fst00893484 | |
| 650 | 7 | |a Geometry, Differential. |2 fast |0 (OCoLC)fst00940919 | |
| 650 | 7 | |a Mathematical physics. |2 fast |0 (OCoLC)fst01012104 | |
| 650 | 7 | |a Monge-Ampère equations. |2 fast |0 (OCoLC)fst01025360 | |
| 650 | 0 | 7 | |a Partial differential equations. |2 msc |
| 650 | 0 | 7 | |a Differential geometry. |2 msc |
| 655 | 0 | |a Electronic book. | |
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| 830 | 0 | |a Zurich lectures in advanced mathematics. |0 http://id.loc.gov/authorities/names/no2004098541 | |
| 880 | 1 | |6 264-00 |a Z�urich : |b European Mathematical Society, |c [2017] | |
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| 928 | |t Library of Congress classification |a QA377 |l Online |c UC-FullText |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=1440016 |z eBooks on EBSCOhost |g ebooks |i 12447006 | ||