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

 
9783319060750: Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models

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Sinossi

​ ​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.

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Altre edizioni note dello stesso titolo

9783319060736: Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-convex Variational Models

Edizione in evidenza

ISBN 10:  3319060732 ISBN 13:  9783319060736
Casa editrice: Springer Nature, 2014
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