Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization (Mps-siam Series on Optimization 6, Band 6) - Softcover

Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gerard

Softcover

ISBN 10: 0898716004 ISBN 13: 9780898716009

Verlag: CAMBRIDGE, 2005

Inhaltsangabe

Self-contained and complete guide for graduate students plus a detailed presentation of key tools and methods .

Über diesen Titel

Über die Autorin bzw. den Autor

Hedy Attouch is Professor of Mathematics at Université 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.Giuseppe Buttazzo is Professor of Mathematics at Università 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.Gérard Michaille is Professor at Centre Universitaire de Formation et de Recherche at Nîmes (CUFR) and a member of the UMR-CNRS I3S of the Mathematical Department at Université Montpellier II, France. He works in the fields of variational analysis and homogenization and their applications in mechanics.

Aus dem Klappentext

This book is a solid treatise on the (contemporary) calculus of variations. The material presented is quite extensive and slightly nontraditional. For example, the authors include a chapter on convex duality and subdifferential calculus. Often, books on the modern calculus of variations and books devoted to convex optimization have little if any overlap. I believe readers will appreciate the nontrivial overlap in the present text. Rustum Choksi, Associate Professor of Applied and Computational Mathematics, Simon Fraser University."The second part has some discussion of more advanced background material (such as BV and SBV functions) needed for work on many modern variational problems, as well as discussions of recent results on a variety of problems, including variational approaches to image segmentation, fracture mechanics, and shape optimization." Robert Jerrard, Professor of Mathematics, University of Toronto.

Details zur Ausgabe

• Verlag: CAMBRIDGE
• Erscheinungsdatum: 2005
• Sprache: Englisch
• ISBN 10: 0898716004
• ISBN 13: 9780898716009
• Einband: Taschenbuch
• Anzahl der Seiten: 634
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar