Abstract
A fourth-order linear elliptic partial differential equation describing the displacements of a transversely isotropic linear elastic medium is considered. Its symmetries and the symmetries of an inhomogeneous equation with a delta function on the right-hand side are found. The latter symmetries are used to construct an invariant fundamental solution of the original equation in terms of elementary functions.
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Original Russian Text © A.V. Aksenov, 2016, published in Doklady Akademii Nauk, 2016, Vol. 470, No. 5, pp. 514–518.
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Aksenov, A.V. Fundamental solution of displacement equations for a transversely isotropic elastic medium. Dokl. Math. 94, 598–601 (2016). https://doi.org/10.1134/S1064562416050197
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DOI: https://doi.org/10.1134/S1064562416050197