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

Botelho, Fabio

ISBN 10: 3319382063 ISBN 13: 9783319382067

Editorial: Springer, 2016

Idioma: Ingl�s

Condici�n: Nuevo Encuadernaci�n de tapa blanda

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Descripci�n

pp. 560.

N� de ref. del art�culo 26378100484

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Detalles bibliogr�ficos

T�tulo: Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models
Editor: Springer
Fecha de publicaci�n: 2016
Idioma: Ingl�s
ISBN 10: 3319382063
ISBN 13: 9783319382067
Encuadernaci�n: Encuadernaci�n de tapa blanda
Estado: New

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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.

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.

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