Functional Analysis and Applied Optimization in Banach Spaces

Applications to Non-Convex Variational Models

Inbunden, Engelska, 2014

AvFabio Botelho

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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.

Produktinformation

Utgivningsdatum2014-07-03
Mått155 x 235 x 27 mm
Vikt942 g
FormatInbunden
SpråkEngelska
Antal sidor560
Upplaga2014
FörlagSpringer International Publishing AG
ISBN9783319060736

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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.