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  • The discrete dirichlet prob...
    The discrete dirichlet problem. Solvability and approximation properties
    Vasilyev, A. V.; Vasilyev, V. B.; Khodyreva, A. A.

    Journal of mathematical sciences (New York, N.Y.), 03/2023, Letnik: 270, Številka: 5
    Journal Article

    We consider the discrete Dirichlet boundary value problem for a discrete elliptic pseudodifferential equation in the quadrant and study its solvability in discrete counterparts of the Sobolev–Slobodetskii space. The study is based on a special factorization of the elliptic symbol. We compare the solutions to the discrete Dirichlet problem and its continuous counterpart.

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