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H-Convergence

  • François Murat
  • Luc Tartar
Chapter
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 31)

Abstract

The article is the translation of notes originally written in French that were intended as a first draft for a joint book which has yet to be written. These notes presented part of the material that Luc Tartar taught in his Cours Peccot at the Collège de France in March 1977 and were also based on a series of lectures given by François Murat at Algiers University in March 1978. They were subsequently reproduced by mimeograph in the Séminaire d’Analyse Fonctionnelle et Numérique de l’Université d’Alger 1977/78 under the signature of only François Murat. We have chosen to return to our original project by cosigning the present translation.

Keywords

Strong Topology Corrector Matrix Regularity Theorem Reflexive Separable Banach Space Weak Lower Semi Continuity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    A. Bensoussan, J.-L. Lions, and G. Papanicolaou, Asymptotic methods in periodic structures, North-Holland, Amsterdam, 1978.Google Scholar
  2. [2]
    E. De Giorgi and S. Spagnolo, Sulla convergenza degli integrali dell’ energia per operatori ellittici del secondo ordine, Boll. UMI 8 (1973), 391–411.MATHGoogle Scholar
  3. [3]
    N. G. Meyers, An L p-estimate for the gradient of solutions of second order elliptic equations, Ann. Sc. Norm. Sup. Pisa 17 (1963), 189–206.MathSciNetMATHGoogle Scholar
  4. [4]
    F. Murat, Compacité par compensation, Ann. Sc. Norm. Sup. Pisa 5 (1978), 489–507.MathSciNetMATHGoogle Scholar
  5. [5]
    S. Spagnolo, Sulla convergenza di soluzioni di equazioni paraboliche ed ellittiche, Ann. Sc. Norm. Sup. Pisa 22 (1968), 571–597.MATHGoogle Scholar

References Added at the Time of the Translation

  1. [6]
    F. Murat, “Compacité par compensation II,” in: Proceedings of the international meeting on recent methods in non linear analysis (Rome, May 1978), E. De Giorgi, E. Magenes and U. Mosco, eds., Pitagora Editrice, Bologna, 1979, 245–256.Google Scholar
  2. [7]
    L. Tartar, “Compensated compactness and applications to partial differential equations.,” in: Non linear analysis and mechanics, Heriot-Watt Symposium, Volume IV, R.J. Knops, ed., Research Notes in Mathematics, 39, Pitman, Boston, 1979, 136–212.Google Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • François Murat
  • Luc Tartar

There are no affiliations available

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