An Introduction to Γ-Convergence: 8 (Progress in Nonlinear Differential Equations and Their Applications, 8) - Hardcover
Synopsis
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 non smooth analysis. Among variational convergences, De Giorgi's r-convergence plays a cen tral role for its compactness properties and for the large number of results concerning r -limits of integral functionals. Moreover, almost all other varia tional convergences can be easily expressed in the language of r -convergence. This text originates from the notes of the courses on r -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 r -convergence and its appli cations.
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Synopsis
Provides a self-contained systematic presentation of a notion of "variational convergence," called [gamma] convergence, that has been developed in the last 25 years in connection with the study of homogenization problems in the mathematical theory of composite materials, and has been applied to the study of phase transitions, singular perturbations
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An Introduction to ÃÂ?-Convergence Progress in Nonlinear Differential Equations and Their Applications Volume 8
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An Introduction to ?-Convergence (Progress in Nonlinear Differential Equations and Their Applications, 8)
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An Introduction to G-Convergence
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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. Seller Inventory # 5975465
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An Introduction to ¿-Convergence
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Birkhäuser Boston Jan 1993, 1993
ISBN 10: 081763679X
ISBN 13: 9780817636791
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 non smooth analysis. Among variational convergences, De Giorgi's r-convergence plays a cen tral role for its compactness properties and for the large number of results concerning r -limits of integral functionals. Moreover, almost all other varia tional convergences can be easily expressed in the language of r -convergence. This text originates from the notes of the courses on r -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 r -convergence and its appli cations. 360 pp. Englisch. Seller Inventory # 9780817636791
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An Introduction to ?-Convergence
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Condition: New. Series: Progress in Nonlinear Differential Equations and Their Applications. Num Pages: 355 pages, biography. BIC Classification: YQM. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 20. Weight in Grams: 680. . 1992. Hardback. . . . . Seller Inventory # V9780817636791
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An Introduction to ¿-Convergence
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Birkhäuser, Birkhäuser Jan 1993, 1993
ISBN 10: 081763679X
ISBN 13: 9780817636791
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 360 pp. Englisch. Seller Inventory # 9780817636791
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An Introduction to ¿-Convergence
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 non smooth analysis. Among variational convergences, De Giorgi's r-convergence plays a cen tral role for its compactness properties and for the large number of results concerning r -limits of integral functionals. Moreover, almost all other varia tional convergences can be easily expressed in the language of r -convergence. This text originates from the notes of the courses on r -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 r -convergence and its appli cations. Seller Inventory # 9780817636791
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An Introduction to G-Convergence (Progress in Nonlinear Differential Equations and Their Applications)
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An Introduction to ?-Convergence
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Condition: New. Series: Progress in Nonlinear Differential Equations and Their Applications. Num Pages: 355 pages, biography. BIC Classification: YQM. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 20. Weight in Grams: 680. . 1992. Hardback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780817636791