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On the Spectrum of an Equivariant Extension of the Laplace Operator in a Ball

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Abstract

We study the relationship between the well-posedness of an equivariant problem for the Poisson equation in a ball and the spectrum of the operator generated by it.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    V. P. Burskii & T. V. Shtepina

Authors
  1. V. P. Burskii
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  2. T. V. Shtepina
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Burskii, V.P., Shtepina, T.V. On the Spectrum of an Equivariant Extension of the Laplace Operator in a Ball. Ukrainian Mathematical Journal 52, 1679–1690 (2000). https://doi.org/10.1023/A:1010475003292

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  • DOI: https://doi.org/10.1023/A:1010475003292

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