Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models - Hardcover

Botelho, Fabio

 
9783319060736: Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models
Hardcover
ISBN 10: 3319060732 ISBN 13: 9783319060736
Verlag: Springer, 2014

Inhaltsangabe

​This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems presented are nonlinear, with non-convex variational formulation. Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one. Indeed, the dual approach more readily facilitates numerical computations for some of the selected models. While intended primarily for applied mathematicians, the text will also be of interest to engineers, physicists, and other researchers in related fields.

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Von der hinteren Coverseite

This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems presented are nonlinear, with non-convex variational formulation. Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one. Indeed, the dual approach more readily facilitates numerical computations for some of the selected models. While intended primarily for applied mathematicians, the text will also be of interest to engineers, physicists, and other researchers in related fields.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
3319060732
ISBN 13 
9783319060736
Einband
Gebundene Ausgabe
Anzahl der Seiten
578
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Deutschland

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9783319382067: Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models

Vorgestellte Ausgabe

ISBN 10:  3319382063 ISBN 13:  9783319382067
Verlag: Springer, 2016
Softcover