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

Botelho, Fabio

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

Sinopsis

​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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De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2014
Idioma
Inglés
ISBN 10 
3319060732
ISBN 13 
9783319060736
Encuadernación
Tapa dura
Número de páginas
580
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Otras ediciones populares con el mismo título

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

Edición Destacada

ISBN 10:  3319382063 ISBN 13:  9783319382067
Editorial: Springer, 2016
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