Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-convex Variational Models - Rilegato

Botelho, Fabio

 
9783319060736: Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-convex Variational Models
Rilegato
ISBN 10: 3319060732 ISBN 13: 9783319060736
Casa editrice: Springer Nature, 2014

Sinossi

?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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer Nature
Data di pubblicazione
2014
Lingua
Inglese
ISBN 10 
3319060732
ISBN 13 
9783319060736
Rilegatura
Copertina rigida
Numero di pagine
560
Contatto del produttore
ProductSafety@springernature.com
ProductSafety@springernature.com

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Darmstadt
64293
Germania

Altre edizioni note dello stesso titolo

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

Edizione in evidenza

ISBN 10:  3319382063 ISBN 13:  9783319382067
Casa editrice: Springer Nature, 2016
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