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Boundary values of the solutions of degenerate elliptic equations

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Abstract

One determines the natural boundary values of the solutions of degenerate elliptic equations. It is shown that the natural boundary values can be expressed in terms of the Dirichlet data with the aid of the classical pseudodifferential operator.

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Authors and Affiliations

  1. Leningrad University, USSR

    A. I. Karol'

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  1. A. I. Karol'
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Translated from Problemy Matematicheskogo Analiza, No. 10, pp. 123–139, 1986.

In conclusion, the author expresses his deep gratitude to M. Z. Solomyak for useful discussions on the formulation of the problem and on the results of the paper.

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Karol', A.I. Boundary values of the solutions of degenerate elliptic equations. J Math Sci 45, 1205–1218 (1989). https://doi.org/10.1007/BF01096153

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  • DOI: https://doi.org/10.1007/BF01096153

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