The Resource Functional Analysis and Applied Optimization in Banach Spaces : Applications to Non-Convex Variational Models, by Fabio Botelho, (electronic resource)

Functional Analysis and Applied Optimization in Banach Spaces : Applications to Non-Convex Variational Models, by Fabio Botelho, (electronic resource)

Label
Functional Analysis and Applied Optimization in Banach Spaces : Applications to Non-Convex Variational Models
Title
Functional Analysis and Applied Optimization in Banach Spaces
Title remainder
Applications to Non-Convex Variational Models
Statement of responsibility
by Fabio Botelho
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
http://library.link/vocab/creatorName
Botelho, Fabio
Image bit depth
0
LC call number
QA319-329.9
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
http://library.link/vocab/subjectName
  • Mathematics
  • Fourier analysis
  • Functional analysis
  • Numerical analysis
  • Mathematics
  • Functional Analysis
  • Real Functions
  • Fourier Analysis
  • Numerical Analysis
Label
Functional Analysis and Applied Optimization in Banach Spaces : Applications to Non-Convex Variational Models, by Fabio Botelho, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Topological Vector Spaces -- 2. The Hahn-Bananch Theorems and Weak Topologies -- 3. Topics on Linear Operators -- 4. Basic Results on Measure and Integration.- 5. The Lebesgue Measure in Rn -- 6. Other Topics in Measure and Integration -- 7. Distributions -- 8. The Lebesque and Sobolev Spaces.- 9. Basic Concepts on the Calculus of Variations -- 10. Basic Concepts on Convex Analysis -- 11. Constrained Variational Analysis -- 12. Duality Applied to Elasticity -- 13. Duality Applied to a Plate Model -- 14. About Ginzburg-Landau Type Equations: The Simpler Real Case.- 15. Full Complex Ginzburg-Landau System.- 16. More on Duality and Computation in the Ginzburg-Landau System.- 17. On Duality Principles for Scalar and Vectorial Multi-Well Variational Problems -- 18. More on Duality Principles for Multi-Well Problems -- 19. Duality and Computation for Quantum Mechanics Models -- 20. Duality Applied to the Optimal Design in Elasticity -- 21. Duality Applied to Micro-magnetism -- 22. The Generalized Method of Lines Applied to Fluid Mechanics -- 23. Duality Applied to the Optimal Control and Optimal Design of a Beam Model
Dimensions
unknown
Extent
XVIII, 560 p. 57 illus., 51 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319060743
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-06074-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-06074-3
Label
Functional Analysis and Applied Optimization in Banach Spaces : Applications to Non-Convex Variational Models, by Fabio Botelho, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Topological Vector Spaces -- 2. The Hahn-Bananch Theorems and Weak Topologies -- 3. Topics on Linear Operators -- 4. Basic Results on Measure and Integration.- 5. The Lebesgue Measure in Rn -- 6. Other Topics in Measure and Integration -- 7. Distributions -- 8. The Lebesque and Sobolev Spaces.- 9. Basic Concepts on the Calculus of Variations -- 10. Basic Concepts on Convex Analysis -- 11. Constrained Variational Analysis -- 12. Duality Applied to Elasticity -- 13. Duality Applied to a Plate Model -- 14. About Ginzburg-Landau Type Equations: The Simpler Real Case.- 15. Full Complex Ginzburg-Landau System.- 16. More on Duality and Computation in the Ginzburg-Landau System.- 17. On Duality Principles for Scalar and Vectorial Multi-Well Variational Problems -- 18. More on Duality Principles for Multi-Well Problems -- 19. Duality and Computation for Quantum Mechanics Models -- 20. Duality Applied to the Optimal Design in Elasticity -- 21. Duality Applied to Micro-magnetism -- 22. The Generalized Method of Lines Applied to Fluid Mechanics -- 23. Duality Applied to the Optimal Control and Optimal Design of a Beam Model
Dimensions
unknown
Extent
XVIII, 560 p. 57 illus., 51 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319060743
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-06074-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-06074-3

Library Locations

  • African Studies LibraryBorrow it
    771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Alumni Medical LibraryBorrow it
    72 East Concord Street, Boston, MA, 02118, US
    42.336388 -71.072393
  • Astronomy LibraryBorrow it
    725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US
    42.350259 -71.105717
  • Fineman and Pappas Law LibrariesBorrow it
    765 Commonwealth Avenue, Boston, MA, 02215, US
    42.350979 -71.107023
  • Frederick S. Pardee Management LibraryBorrow it
    595 Commonwealth Avenue, Boston, MA, 02215, US
    42.349626 -71.099547
  • Howard Gotlieb Archival Research CenterBorrow it
    771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Mugar Memorial LibraryBorrow it
    771 Commonwealth Avenue, Boston, MA, 02215, US
    42.350723 -71.108227
  • Music LibraryBorrow it
    771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Pikering Educational Resources LibraryBorrow it
    2 Silber Way, Boston, MA, 02215, US
    42.349804 -71.101425
  • School of Theology LibraryBorrow it
    745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350494 -71.107235
  • Science & Engineering LibraryBorrow it
    38 Cummington Mall, Boston, MA, 02215, US
    42.348472 -71.102257
  • Stone Science LibraryBorrow it
    675 Commonwealth Avenue, Boston, MA, 02445, US
    42.350103 -71.103784
Processing Feedback ...