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  • 1
    Online Resource
    Online Resource
    Boston, MA :Birkhäuser Boston :
    UID:
    almahu_9947362864602882
    Format: XIV, 341 p. , online resource.
    ISBN: 9781461203278
    Series Statement: Progress in Nonlinear Differential Equations and Their Applications ; 8
    Note: 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.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9781461267096
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    Boston, MA : Birkhäuser Boston
    UID:
    b3kat_BV042419504
    Format: 1 Online-Ressource (XIV, 341 p)
    ISBN: 9781461203278 , 9781461267096
    Series Statement: Progress in Nonlinear Differential Equations and Their Applications 8
    Note: The last twentyfive years have seen an increasing interest for variational convergences and for their applications to different fields, like homogenization theory, phase transitions, singular perturbations, boundary value problems in wildly perturbed domains, approximation of variatonal problems, and non­smooth analysis. Among variational convergences, De Giorgi's gamma-convergence plays a central role for its compactness properties and for the large number of results concerning gamma-limits of integral functionals. Moreover, almost all other variational convergences can be easily expressed in the language of gamma-convergence. This text originates from the notes of the courses on gamma-convergence held by the author in Trieste at the International School for Advanced Studies (S. I. S. S. A. ) during the academic years 1983-84,1986-87, 1990-91, and in Rome at the Istituto Nazionale di Alta Matematica (I. N. D. A. M. ) during the spring of 1987. This text is far from being a treatise on gamma-convergence and its applications
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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