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On stability of classes of affine mappings

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References

  1. F. John, “Rotation and strain,” Comm. Pure Appl. Math.,14, No. 3, 391–413 (1961).

    Google Scholar 

  2. F. John, “On quasiisometric mappings. I,” Comm. Pure Appl. Math.,21, No. 1, 77–110 (1968).

    Google Scholar 

  3. F. John, “On quasiisometric mappings. II,” Comm. Pure Appl. Math.,22, No. 2, 265–278 (1969).

    Google Scholar 

  4. A. P. Kopylov, “On stability of isometric mappings,” Sibirsk. Mat. Zh.,25, No. 2, 132–144 (1984).

    Google Scholar 

  5. Yu. G. Reshetnyak, Space Mappings with Bounded Distortion, Amer. Math. Soc., Providence, R. I. (1989) (Math. Monogr.;73).

    Google Scholar 

  6. A. P. Kopylov, Stability in theC-Norm of Classes of Mappings [in Russian], Nauka, Novosibirsk (1990).

    Google Scholar 

  7. A. A. Egorov, “On stability of classes of affine mappings,” Dokl. RAN,325, No. 3, 425–427 (1992).

    Google Scholar 

  8. L. G. Gurov, “On stability of Lorentz mappings,” Dokl. Akad. Nauk SSSR,213, No. 2, 267–269 (1973).

    Google Scholar 

  9. L. G. Gurov, “On stability of pseudoisometries,” in: Contemporary Problems of Geometry and Analysis [in Russian], Nauka, Novosibirsk, 1989, pp. 89–98 (Trudy Inst. Mat. (Novosibirsk);14).

    Google Scholar 

  10. T. V. Sokolova, Stability of Homothety Mappings Relative to the SpaceW 1 p [in Russian], Dis. Kand. Fiz.-Mat. Nauk, Novosibirsk (1991).

  11. K. Kuratowski, Topology. Vol. 1 and 2 [Russian translation], Mir, Moscow (1966, 1969).

    Google Scholar 

  12. L. Hörmander, The Analysis of Linear Partial Differential Equations. Vol. 1 [Russian translation], Mir, Moscow (1986).

    Google Scholar 

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Authors and Affiliations

  1. Novosibirsk

    A. A. Egorov

Authors
  1. A. A. Egorov
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Additional information

The research was financially supported by the International Foundation “Cultural Initiative” and the Russian Foundation for Fundamental Research (Grant 93-011-228).

Translated fromSibirskii Matematicheskii Zhurnal, Vol. 36, No. 5, pp. 1081–1095, September–October, 1995.

The author expresses his deep gratitude to Professor A. P. Kopylov for posing the problem and offering help during the work.

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Egorov, A.A. On stability of classes of affine mappings. Sib Math J 36, 930–942 (1995). https://doi.org/10.1007/BF02112534

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