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Differential Equations

, Volume 55, Issue 1, pp 46–59 | Cite as

Construction of Exact Solutions of Irregularly Degenerate Elliptic Equations with Analytic Coefficients

  • D. P. Emel’yanovEmail author
  • I. S. Lomov
Partial Differential Equations
  • 5 Downloads

Abstract

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.

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussia

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