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Uniqueness and stability of extension of solution of an elliptic equation from a set to a domain

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Literature cited

  1. E. M. Landis, “Certain questions of the qualitative theory of elliptic equations of second order,” Usp. Mat. Nauk,18, No. 1, 3–62 (1963).

    Google Scholar 

  2. Yu. K. Gerasimov, “The three-spheres theorem for a certain class of elliptic equations of high order and refinement of this theorem for a linear elliptic equation of second order,” Mat. Sb.,71, No. 4, 563–585 (1966).

    Google Scholar 

  3. N. S. Nadirashvili, “On an estimate of the solutions, bounded on a certain set, of elliptic equations with analytic coefficients,” Vestn. Mosk. Gos. Univ., Ser. Mat., Mekh., No. 2, 42–45 (1979).

    Google Scholar 

  4. E. G. Sitnikova, “The strong-zero theorem for an elliptic equation of high order,” Mat. Sb.,81, No. 3, 377–397 (1970).

    Google Scholar 

  5. E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press (1970).

  6. E. M. Landis, Second-Order Elliptic and Parabolic Type Equations [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  7. B. Malgrange, Ideals of Differentiable Functions, Oxford Univ. Press (1966).

  8. L. Carleson, Selected Problems on Exceptional Sets, Van Nostrand, Princeton (1967).

    Google Scholar 

  9. P. Cohen, The Non-Uniqueness of Cauchy Problem, O.N.R. Techn. Report 93, Stanford (1960).

  10. K. Miller, “Nonunique continuation for uniformly parabolic and elliptic equations in self-adjoint divergent form with Hölder-continuous coefficients,” Arch. Rat. Mech. Anal.,54, No. 2, 105–117 (1974).

    Google Scholar 

  11. L. Hörmander, Linear Partial Differential Operators, Springer-Verlag, New York-Berlin (1963).

    Google Scholar 

  12. E. M. Landis, “On the Hörmander inequality for elliptic equations with nonsmooth coefficients,” Vestn. Mosk. Gos. Univ., Ser. Mat., Mekh., No. 6, 49–53 (1979).

    Google Scholar 

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Authors and Affiliations

  1. Earth-Physics Institute, Academy of Sciences of the USSR, USSR

    N. S. Nadirashvili

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  1. N. S. Nadirashvili
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Translated from Matematicheskie Zametki, Vol. 40, No. 2, pp. 218–225, August, 1986.

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Nadirashvili, N.S. Uniqueness and stability of extension of solution of an elliptic equation from a set to a domain. Mathematical Notes of the Academy of Sciences of the USSR 40, 623–627 (1986). https://doi.org/10.1007/BF01159117

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  • DOI: https://doi.org/10.1007/BF01159117

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