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Strong solution of boundary value problems in cylindrical domains for a fourth-order equation of composite type

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Abstract

We use the method of energy inequalities and averaging operators with variable step to prove the existence and uniqueness of a strong solution of boundary value problems for a fourth-order equation of composite type.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences, Minsk, Belarus

    V. I. Korzyuk & O. A. Konopel’ko

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  1. V. I. Korzyuk
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  2. O. A. Konopel’ko
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Original Russian Text © V.I. Korzyuk, O.A. Konopel’ko, 2010, published in Differentsial’nye Uravneniya, 2010, Vol. 46, No. 5, pp. 687–697.

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Korzyuk, V.I., Konopel’ko, O.A. Strong solution of boundary value problems in cylindrical domains for a fourth-order equation of composite type. Diff Equat 46, 690–701 (2010). https://doi.org/10.1134/S0012266110050083

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