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Non-existence of a continuum that models a Newtonian system of interacting particles

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References

  1. Whitney, H., Analytic extensions of differentiable functions defined in closed sets. Trans. Am. Math. Soc. 36, 63–89 (1934).

    Google Scholar 

  2. Whitney, H., On ideals of differentiable functions. Am. J. of Math. 70, 635–658 (1948).

    Google Scholar 

  3. Rogula, D., Influence of spatial acoustic dispersion on dynamical properties of dislocations. Bull. Acad. Pol. Sci., ser. techn. XIII, No. 7, 339 (1965).

    Google Scholar 

  4. Gelfand, I. M., & G. Y. Shilov, Spaces of fundamental and generalized functions (in Russian, in Generalized Functions, v. 2). Gos. Izd. Fiz.-Mat. Lit. Moscow, 1958.

    Google Scholar 

  5. Edwards, R. E., Functional Analysis. New York: Holt, Rinehart, Winston 1965.

    Google Scholar 

  6. Malgrange, B., Ideals of Differentiable Functions. Oxford: Univ. Press 1966.

    Google Scholar 

  7. Mostowski, T., Extensions of functions from closed sets to open sets, preserving the differentiability (in Polish, unpublished), 1972.

  8. Krutkov, Y. A., Tensor of Stress Functions and General Solutions in Static Elasticity (in Russian). Izd. AN SSSR, Moscow, 1949.

    Google Scholar 

  9. Glaeser, G., Étude de quelques algèbres Tayloriennes. Journal d'Analyse Mathématique 6, 1–124 (1958).

    Article  MATH  Google Scholar 

  10. Glaeser, G., L'Interpolation des fonctions différentiables de plusieurs variables. In Proceedings of Liverpool Singularities Symposium, II. Berlin Heidelberg New York: Springer 1971.

    Google Scholar 

  11. Zorski, H., Analysis of discrete structures. Forthcoming.

  12. Maurin, K., Analysis (in Polish), v.I., PWN, Warszawa, 1971.

    Google Scholar 

  13. Weinberg, M. M., Variational Methods of Investigation of Non-Linear Operators (in Russian). Gostekhizdat, Moscow, 1956.

    Google Scholar 

  14. Mitchell, B., Theory of Categories. Academic Press, New York and London, 1965.

    Google Scholar 

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  1. Instytut Podstawowych Problemóv Tèchniki ul., Swietokrzyska 21, Warsaw

    Henryk Zorski

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  1. Henryk Zorski
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Communicated by G. Fichera

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Zorski, H. Non-existence of a continuum that models a Newtonian system of interacting particles. Arch. Rational Mech. Anal. 56, 320–333 (1974). https://doi.org/10.1007/BF00248145

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  • DOI: https://doi.org/10.1007/BF00248145

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