Convex Analysis and Variational Problems - Brossura

Ekeland, Ivar; Témam, Roger

Brossura

ISBN 10: 0898714508 ISBN 13: 9780898714500

Casa editrice: Society for Industrial and Applied Mathematics, 1999

Riassunto

This book contains different developments of infinite dimensional convex programming in the context of convex analysis.

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Descrizione del libro

Contains 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). Also includes the theory of convex duality applied to PDEs no other reference presents this in a systematic way

Contenuti

Preface to the classics edition; Preface; Part I. Fundamentals of Convex Analysis. I. Convex functions; 2. Minimization of convex functions and variational inequalities; 3. Duality in convex optimization; Part II. Duality and Convex Variational Problems. 4. Applications of duality to the calculus of variations (I); 5. Applications of duality to the calculus of variations (II); 6. Duality by the minimax theorem; 7. Other applications of duality; Part III. Relaxation and Non-Convex Variational Problems. 8. Existence of solutions for variational problems;9. Relaxation of non-convex variational problems (I); 10. 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.

Dettagli dell'edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 0898714508
• ISBN 13: 9780898714500
• Rilegatura: Copertina flessibile
• Numero di pagine: 416
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile