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
Publisher: Springer, 2014

Synopsis

​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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2014
Language
English
ISBN 10 
3319060732
ISBN 13 
9783319060736
Binding
Hardcover
Number of pages
578

Other Popular Editions of the Same Title

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

Featured Edition

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