Cite the paper
Mechanics, Materials Science & Engineering, 19 , 2019, ISSN: 2412-5954.
Authors: M.V. Korovina, V.Y. Smirnov
ABSTRACT. We study the asymptotics of solutions of partial differential equations with higher degenerations. Such equations arise, for example, when studying solutions of elliptic equations on manifolds with cuspidal singular points. We construct the asymptotics of a solution of the Laplace equation defined on a manifold with a cuspidal singularity of order k.
Keywords:linear differential equations, holomorphic coefficients, cuspidal singularities, Laplace’s equation
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