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Convex analysis and variational problems : English language ed. originally published: Amsterdam : North-Holland Pub. Co.; New York : American Elsevier Pub. Co. [distributor], 1976, in series: Studies in mathematics and its applications; v. 1 / Ivar Ekeland, Roger Témam

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Publisher number: CL28Language: English Original language: French Series: Classics in applied mathematics ; 28Publisher: Philadelphia, Pa : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1999Description: Online-Ressource (1 electronic text xiv, 402 p.)ISBN:
  • 0898714508
  • 9780898714500
  • 9781611971088
  • 9781611971088
  • 0898714508
  • 9780898714500
Uniform titles:
  • Analyse convexe et problèmes variationnels <English>
Contained works:
  • Ekeland, I. Analyse convexe et problèmes variationnels <English>
  • Ekeland, I. Analyse convexe et problèmes variationnels. <engl.>
Subject(s): Additional physical formats: 0898714508 | Erscheint auch als Druck-AusgabeDDC classification:
  • 519.3 21
MSC: MSC: *49-02 | 90C25 | 90-02 | 49J35 | 49J40 | 49M37 | 90C55 | 90C46 | 90C47 | 49N15LOC classification:
  • QA402.5
DOI: DOI: 10.1137/1.9781611971088Online resources: Additional physical formats: Also available in print version.
Contents:
Includes bibliographical references (p. 391-401) and index
Preface to the Classics editionPreface -- Part One. Fundamentals of convex analysis. Chapter I. Convex functions -- Chapter II. Minimization of convex functions and variational inequalities -- Chapter III. Duality in convex optimization -- Part Two. Duality and convex variational problems. Chapter IV. Applications of duality to the calculus of variations (I) -- Chapter V. Applications of duality to the calculus of variations (II) -- Chapter VI. Duality by the minimax theorem -- Chapter VII. Other applications of duality -- Part Three. Relaxation and non-convex variational problems. Chapter VIII. Existence of solutions for variational problems -- Chapter IX. Relaxation of non-convex variational problems (I) -- Chapter X. Relaxation of non-convex variational problems (II) -- Appendix I. An a priori estimate in non-convex programming -- Appendix II. Non-convex optimization problems depending on a parameter -- Comments -- Bibliography -- Index.
Preface to the Classics edition -- Preface -- Part One. Fundamentals of convex analysis. Chapter I. Convex functions -- Chapter II. Minimization of convex functions and variational inequalities -- Chapter III. Duality in convex optimization -- Part Two. Duality and convex variational problems. Chapter IV. Applications of duality to the calculus of variations (I) -- Chapter V. Applications of duality to the calculus of variations (II) -- Chapter VI. Duality by the minimax theorem -- Chapter VII. Other applications of duality -- Part Three. Relaxation and non-convex variational problems. Chapter VIII. Existence of solutions for variational problems -- Chapter IX. Relaxation of non-convex variational problems (I) -- Chapter X. Relaxation of non-convex variational problems (II) -- Appendix I. An a priori estimate in non-convex programming -- Appendix II. Non-convex optimization problems depending on a parameter -- Comments -- Bibliography -- Index.
Summary: This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional referencesPPN: PPN: 722018053Package identifier: Produktsigel: ZDB-72-SIA
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