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Dirichlet and Hilbert problems for elliptic systems of second and third orders with a supersingular point

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Abstract

For elliptic systems of the second and third orders with an interior supersingular point, we find the integral representation of their solutions and the corresponding inversion formulas.The obtained integral representations can be applied in studying the asymptotic behavior of solutions as r = |z| → 0 and also in studying boundary-value problems.

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Authors and Affiliations

  1. Moscow Energetic Institute (Technical University), Moscow, Russia

    A. B. Rasulov

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  1. A. B. Rasulov
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Correspondence to A. B. Rasulov.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 78, Partial Differential Equations and Optimal Control, 2012.

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Rasulov, A.B. Dirichlet and Hilbert problems for elliptic systems of second and third orders with a supersingular point. J Math Sci 189, 257–273 (2013). https://doi.org/10.1007/s10958-013-1183-2

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