| Variational Analysis in Sobolev and Bv Spaces: Applications to Pdes and Optimization Contributor(s): Attouch, Hedy (Author), Buttazzo, Giuseppe (Author), Michaille, Gérard (Author) |
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ISBN: 0898716004 ISBN-13: 9780898716009 Publisher: Society for Industrial and Applied Mathematic OUR PRICE: $160.55 Product Type: Paperback Published: January 1987 |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | Mathematical Analysis |
| Dewey: 519.6 |
| LCCN: 2005051592 |
| Series: MPS/SIAM Series on Optimization |
| Physical Information: 650 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This self-contained book is excellent for graduate-level courses devoted to variational analysis, optimization, and partial differential equations (PDEs). It provides readers with a complete guide to problems in these fields as well as a detailed presentation of the most important tools and methods of variational analysis. New trends in variational analysis are also presented, along with recent developments and applications in this area. It contains several applications to problems in geometry, mechanics, elasticity, and computer vision, along with a complete list of references. The book is divided into two parts. In Part I, classical Sobolev spaces are introduced and the reader is provided with the basic tools and methods of variational analysis and optimization in infinite dimensional spaces, with applications to classical PDE problems. In Part II, BV spaces are introduced and new trends in variational analysis are presented. |
Contributor Bio(s): Buttazzo, Giuseppe: - Giuseppe Buttazzo is Professor of Mathematics at Universita di Pisa. He is an editor of several international journals and author of more than 130 scientific articles and 16 books. He has supervised 13 theses in the fields of calculus of variations, nonlinear PDEs, control theory, and related topics.Michaille, Gerard: - Gerard Michaille is Professor at Centre Universitaire de Formation et de Recherche at Nimes (CUFR) and a member of the UMR-CNRS I3S of the Mathematical Department at Universite Montpellier II, France. He works in the fields of variational analysis and homogenization and their applications in mechanics.Attouch, Hedy: - Hedy Attouch is Professor of Mathematics at Universite Montpellier II, France. He is Director of Laboratoire d'Analyse Convexe and of ACSIOM (the analysis, computational, and optimization component of the Institute of Mathematics and Modelization of Montpellier). He has published 100 articles and has supervised 23 theses in the fields of variational analysis and optimization. |