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On a nonclassical interpretation of the dirichlet problem for a fourth-order pseudoparabolic equation

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Abstract

For a fourth-order pseudoparabolic equation with nonsmooth coefficients in a rectangular domain, we consider the Dirichlet problem with nonclassical conditions that do not require matching conditions. We justify the equivalence of these conditions and the classical boundary conditions for the case in which the solution of the problem is sought in a Sobolev space.

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Authors and Affiliations

  1. Institute of Cybernetics, National Academy of Sciences, Baku, Azerbaijan

    I. G. Mamedov

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  1. I. G. Mamedov
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Correspondence to I. G. Mamedov.

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Original Russian Text © I.G. Mamedov, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 3, pp. 417–420.

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Mamedov, I.G. On a nonclassical interpretation of the dirichlet problem for a fourth-order pseudoparabolic equation. Diff Equat 50, 415–418 (2014). https://doi.org/10.1134/S0012266114030161

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  • DOI: https://doi.org/10.1134/S0012266114030161

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