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Partition of unity and the strong ellipticity problem for functional differential operators

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References

  1. S. Agmon, “The coerciveness problem for integro-differential forms,” J. Anal. Math., 6, 183–223 (1958).

    Article  MATH  MathSciNet  Google Scholar 

  2. D. G. Figueiredo, “The coerciveness problem for forms over vector-valued functions,” Commun. Pure Appl. Math., 16, 63–94 (1963).

    Article  MATH  Google Scholar 

  3. L. Gårding, “Dirichlet’s problem for linear elliptic partial differential equations,” Math. Scand., 1, 55–72 (1953).

    MATH  MathSciNet  Google Scholar 

  4. M. A. Naymark, Normed Rings [in Russian], Nauka, Mascow (1968).

    Google Scholar 

  5. J. Nečas, Les Méthodes Directes en Théorie des Equations Elliptiques, Prague (1967).

  6. L. E. Rossovskii, “The coercivity of functional differential equations” Mat. Zametki, 59, No. 1, 103–113 (1996).

    MathSciNet  Google Scholar 

  7. U. Rudin, Functional Analysis [Russian translation], Mir, Moscow (1975).

    Google Scholar 

  8. A. L. Skubachevskii, Elliptic Functional Differential Equations and Applications, Birkhäuser, Berlin (1997).

    MATH  Google Scholar 

  9. M. I. Vishik, “On the strongly elliptic systems of difference equations,” Mat. Sb., 29 (71), No. 3, 615–676 (1951).

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Russian Peoples’ Friendship University, Moscow, Russia

    M. A. Skryabin

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  1. M. A. Skryabin
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Correspondence to M. A. Skryabin.

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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 34, Proceedings of KROMSH, 2009.

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Skryabin, M.A. Partition of unity and the strong ellipticity problem for functional differential operators. J Math Sci 170, 270–282 (2010). https://doi.org/10.1007/s10958-010-0084-x

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