An Introduction to G-Convergence
Published on 6. December 2012
XIV, 341 pages
978-1-4612-0327-8 (ISBN)
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Gianni Dal Maso
An Introduction to G-Convergence
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10/2012
Springer-Verlag New York Inc.
€192.59
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Gianni Dal Maso
An Introduction to G-Convergence
Book
01/1993
1st Edition
Birkhauser Boston Inc
€192.59
Shipment within 15-20 days
Content
1. The direct method in the calculus of variations.- 2. Minimum problems for integral functionals.- 3. Relaxation.- 4. ?-convergence and K-convergence.- 5. Comparison with pointwise convergence.- 6. Some properties of ?-limits.- 7. Convergence of minima and of minimizers.- 8. Sequential characterization of ?-limits.- 9. ?-convergence in metric spaces.- 10. The topology of ?-convergence.- 11. ?-convergence in topological vector spaces.- 12. Quadratic forms and linear operators.- 13. Convergence of resolvents and G-convergence.- 14. Increasing set functions.- 15. Lower semicontinuous increasing functionals.- 16. $$ \bar{\Gamma } $$-convergence of increasing set functional.- 17. The topology of $$ \bar{\Gamma } $$-convergence.- 18. The fundamental estimate.- 19. Local functionals and the fundamental estimate.- 20. Integral representation of ?-limits.- 21. Boundary conditions.- 22. G-convergence of elliptic operators.- 23. Translation invariant functional.- 24. Homogenization.- 25. Some examples in homogenization.- Guide to the literature.
