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

Botelho, Fabio (Author)

ISBN 10: 3319060732 / ISBN 13: 9783319060736

Published by Springer, 2014

About this Item

2014 edition. 560 pages. 9.75x6.75x1.50 inches. In Stock. Seller Inventory # x-3319060732

Bibliographic Details

Title: Functional Analysis and Applied Optimization...

Publisher: Springer

Publication Date: 2014

Binding: Hardcover

Condition: Brand New

About this title

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.

Review:

“The aim of the present book is to consider a variety of problems arising in applications in relation with non-convex variational models. ... The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics, and engineering.” (Ján Lovíšek, Mathematical Reviews, August, 2015)