| Softcover ISBN: | 978-3-03719-170-5 |
| Product Code: | EMSZLEC/22 |
| List Price: | $42.00 |
| AMS Member Price: | $33.60 |
| Softcover ISBN: | 978-3-03719-170-5 |
| Product Code: | EMSZLEC/22 |
| List Price: | $42.00 |
| AMS Member Price: | $33.60 |
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Book DetailsEMS Zurich Lectures in Advanced MathematicsVolume: 22; 2017; 210 ppMSC: Primary 35; Secondary 53
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 that contains 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.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
ReadershipGraduate students and researchers interested in nonlinear PDEs.
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Additional Material
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Reviews
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After a thorough reading of this book, one is quite near to the forefront on recent results concerning solvability of the Monge-Ampére equation...I found the book to be extremely well written, with very precise statements and clear proofs. This book would serve as a great reference for a graduate topics course on the Monge-Ampére equation.
Eric Stachura, MAA Reviews
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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 that contains 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.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
Graduate students and researchers interested in nonlinear PDEs.
-
After a thorough reading of this book, one is quite near to the forefront on recent results concerning solvability of the Monge-Ampére equation...I found the book to be extremely well written, with very precise statements and clear proofs. This book would serve as a great reference for a graduate topics course on the Monge-Ampére equation.
Eric Stachura, MAA Reviews
