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

Hedy Attouch, Giuseppe Buttazzo, G?rard Michaille

ISBN 10: 1611973473 / ISBN 13: 9781611973471

Edité par SIAM-Society for Industrial and Applied Mathematics, 2014

A propos de cet article

A self-contained guide to variational analysis that presents fundamental tools and recent developments in the field. Num Pages: 800 pages. BIC Classification: PBK; PBKJ; PBM; PBU. Category: (U) Tertiary Education (US: College). Dimension: 265 x 187 x 45. Weight in Grams: 1566. . 2014. Second Edition. Hardcover. . . . .

N° de réf. du vendeur V9781611973471

Détails bibliographiques

• Titre: Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization, Second Edition
• Éditeur: SIAM-Society for Industrial and Applied Mathematics
• Date de parution: 2014
• Langue: anglais
• ISBN à 10 chiffres: 1611973473
• ISBN à 13 chiffres: 9781611973471
• Reliure: Couverture rigide
• Édition: 2ème Édition
• État de l'article: New

A propos de ce titre

Synopsis

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.

À propos des auteurs

Hedy Attouch is a professor in the Institut de Mathématique et de Modélisation de Montpellier II, where he also has been director of the Laboratory of Convex Analysis and of ACSIOM. His research focuses on variational analysis, convex analysis, continuous optimization, semialgebraic optimization, gradient flows, the interaction among these fields of research, and their applications. He has published more than 100 articles in international journals and has written six books. He serves as editor for several journals on continuous optimization and is responsible for several international research programs.

Giuseppe Buttazzo is a professor in the Department of Mathematics at the University of Pisa. He has been a keynote speaker at many international conferences and workshops on the fields of calculus of variations, nonlinear PDEs, applied mathematics, control theory and related topics. He is the author of more than 180 scientific publications and 20 books, and he serves as an editor of several international journals.

Gérard Michaille is a professor at the University of Nîmes and member of the UMR-CNRS Institut de Mathématique et de Modélisation de Montpellier. He works in the areas of variational analysis, homogenization, and the applications of PDEs in mechanics and physics.