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Mixed Boundary Value Problems for Strongly Elliptic Differential–Difference Equations in a Bounded Domain

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Abstract

We consider a mixed boundary value problem for a strongly elliptic differential–difference equation in a bounded domain. The relationship of this problem with a nonlocal mixed boundary value problem for an elliptic differential equation is established. Theorems on the unique solvability of both problems and on the smoothness of their generalized solutions are stated.

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Funding

This work was financially supported by the Ministry of Science and Higher Education of the Russian Federation, agreement no. 075-15-2022-1115.

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Authors and Affiliations

  1. RUDN University, Moscow, 117198, Russia

    V. V. Liiko

  2. Moscow Center for Fundamental and Applied Mathematics, Moscow, 119991, Russia

    V. V. Liiko

Authors
  1. V. V. Liiko
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Correspondence to V. V. Liiko.

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Translated by V. Potapchouck

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Liiko, V.V. Mixed Boundary Value Problems for Strongly Elliptic Differential–Difference Equations in a Bounded Domain. Diff Equat 58, 1211–1216 (2022). https://doi.org/10.1134/S0012266122090051

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  • DOI: https://doi.org/10.1134/S0012266122090051

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