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Solution of a Semi-Boundary Value Problem for a Degenerate Partial Differential Equation

  • PARTIAL DIFFERENTIAL EQUATIONS
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Abstract

We study the solvability of a semi-boundary value problem in a Banach space for a partial differential equation with noninvertible operator coefficients. Owing to the regularity of the operator pencil, the equation splits into two equations in subspaces. Conditions for the solvability of the problems posed for these equations are revealed, and solutions are constructed.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, 394018, Russia

    S. P. Zubova

  2. Voronezh State University of Forestry and Technologies, Voronezh, 394087, Russia

    E. V. Raetskaya

Authors
  1. S. P. Zubova
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  2. E. V. Raetskaya
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Corresponding authors

Correspondence to S. P. Zubova or E. V. Raetskaya.

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Translated by V. Potapchouck

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Zubova, S.P., Raetskaya, E.V. Solution of a Semi-Boundary Value Problem for a Degenerate Partial Differential Equation. Diff Equat 58, 1182–1194 (2022). https://doi.org/10.1134/S0012266122090038

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  • DOI: https://doi.org/10.1134/S0012266122090038

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