Construction of Exact Solutions of Irregularly Degenerate Elliptic Equations with Analytic Coefficientsстатья
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Дата последнего поиска статьи во внешних источниках: 21 мая 2019 г.
Аннотация:We solve a boundary value problem (problem E in the sense of M.V. Keldysh) for
an irregularly degenerate elliptic operator in a rectangle. The exact solution of the problem
is constructed as a series in the eigenfunctions of the limit operator. The method of spectral
isolation of singularities, which generalizes the method of regularization of singular perturbations to the case of degenerate elliptic equations, is developed.