The Monge-Ampère Equation |
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Author:
| Gutierrez, Cristian E. |
Series title: | Progress in Nonlinear Differential Equations and Their Applications Ser. |
ISBN: | 978-1-4612-6656-3 |
Publication Date: | Oct 2012 |
Publisher: | Birkhäuser Boston
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Imprint: | Birkhäuser |
Book Format: | Paperback |
List Price: | USD $89.99 |
Book Description:
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The Monge-Ampére equation has attracted considerable interest in recent years because of its important role in several areas of applied mathematics. Monge-Ampére type equations have applications in the areas of differential geometry, the calculus of variations, and several optimization problems, such as the Monge-Kantorovitch mass transfer problem. This book stresses the geometric aspects of this beautiful theory, using techniques from harmonic analysis - covering lemmas and set decompositions.
The Monge-Ampére equation has attracted considerable interest in recent years because of its important role in several areas of applied mathematics. Monge-Ampére type equations have applications in the areas of differential geometry, the calculus of variations, and several optimization problems, such as the Monge-Kantorovitch mass transfer problem. This book stresses the geometric aspects of this beautiful theory, using techniques from harmonic analysis - covering lemmas and set decompositions.