Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization, Second Edition

By Gérard Michaille, Giuseppe Buttazzo, Hedy Attouch

Variational analysis is the subject of this self-contained guide, which provides a detailed presentation of the most important tools in the field, as well as applications to geometry, mechanics, elasticity, and computer vision. This second edition introduces significant new material on several topics, including: quasi-open sets and quasi-continuity in the context of capacity theory and potential theory; mass transportation problems and the Kantorovich relaxed formulation of the Monge problem; and stochastic homogenization, with mathematical tools coming from ergodic theory. It also features an entirely new and comprehensive chapter devoted to gradient flows and the dynamical approach to equilibria, and extra examples in the areas of linearized elasticity systems, obstacles problems, convection-diffusion, semilinear equations, and the shape optimization procedure. The book is intended for PhD students, researchers, and practitioners who want to approach the field of variational analysis in a systematic way. This description may be from another edition of this product.

• Format: Hardcover
• Language: English
• ISBN: 1611973473
• ISBN13: 9781611973471
• Release Date: October 2014
• Publisher: SIAM-Society for Industrial and Applied Mathematics
• Length: 805 Pages
• Weight: 3.48 lbs.
• Dimensions: 10.2" x 1.7" x 7.2"