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Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models
Fabio Botelho
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Description for Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models
Paperback. Num Pages: 578 pages, 6 black & white illustrations, 51 colour illustrations, biography. BIC Classification: PBKB; PBKF; PBKS. Category: (P) Professional & Vocational. Dimension: 158 x 243 x 36. Weight in Grams: 886.
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. ... Read more
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. ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Paperback
Publication date
2016
Condition
New
Weight
885g
Number of Pages
560
Place of Publication
Cham, Switzerland
ISBN
9783319382067
SKU
V9783319382067
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models
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. (Jan Lovisek, Mathematical Reviews, August, 2015)