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Removable singularities of solutions of semi-elliptic equations

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Abstract

Let P(D) be a quasihomogeneous semi-elliptic linear differential operator with constant coefficients in ℝn. We prove a metric criterion for the removability of singular sets of solutions of the equation P(D)f = 0 in function classes defined by solutions of this equation with the use of local approximations in mean.

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Authors and Affiliations

  1. Institute for Mathematics, National Academy of Sciences, Kiev, Ukraine

    A. V. Pokrovskii

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  1. A. V. Pokrovskii
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Original Russian Text © A.V. Pokrovskii, 2009, published in Differentsial’nye Uravneniya, 2009, Vol. 45, No. 2, pp. 203–210.

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Pokrovskii, A.V. Removable singularities of solutions of semi-elliptic equations. Diff Equat 45, 209–216 (2009). https://doi.org/10.1134/S0012266109020074

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  • DOI: https://doi.org/10.1134/S0012266109020074

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