The Monge—Ampère Equation
Author | : Cristian E. Gutierrez |
Publisher | : Springer Science & Business Media |
Total Pages | : 148 |
Release | : 2001-05-11 |
ISBN-13 | : 0817641777 |
ISBN-10 | : 9780817641771 |
Rating | : 4/5 (71 Downloads) |
Download or read book The Monge—Ampère Equation written by Cristian E. Gutierrez and published by Springer Science & Business Media. This book was released on 2001-05-11 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Monge-Ampère equation has attracted considerable interest in recent years because of its important role in several areas of applied mathematics. Monge-Ampère 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.