Functional Analysis and Applied Optimization in Banach Spaces

Applications to Non-Convex Variational Models

Authors: Silva Botelho, Fabio

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  • ​Introduces the basic concepts of real and functional analysis
  • Contains introductory and advanced concepts in measure and integration 
  • Applications will be of interest to applied mathematicians, physicists, and engineers
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About this book

​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.

Reviews

“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)


Table of contents (24 chapters)

Table of contents (24 chapters)

Buy this book

eBook $109.00
price for Brazil (gross)
  • ISBN 978-3-319-06074-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for Brazil
  • ISBN 978-3-319-06073-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for Brazil
  • ISBN 978-3-319-38206-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Functional Analysis and Applied Optimization in Banach Spaces
Book Subtitle
Applications to Non-Convex Variational Models
Authors
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-06074-3
DOI
10.1007/978-3-319-06074-3
Hardcover ISBN
978-3-319-06073-6
Softcover ISBN
978-3-319-38206-7
Edition Number
1
Number of Pages
XVIII, 560
Number of Illustrations
6 b/w illustrations, 51 illustrations in colour
Topics