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Solvability of initial-boundary value problems in bending of plates

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Abstract.

The solvability is investigated of the displacement and traction initial-boundary problems for plates with transverse shear deformation. Existence, uniqueness and continuous dependence on the data are proved for distributional solutions in Sobolev-type spaces. Different approaches are used for interior and exterior problems, since the relevant operators lose their compactness in exterior domains.

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Authors and Affiliations

  1. Department of Mathematics and Mechanics, Kharkov University, Kharkov, Ukraine, , , , , , UA

    I. Chudinovich

  2. University of Strathclyde, Department of Mathematics, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, U.K., e-mail: cc@maths.strath.ac.uk, , , , , , UK

    Ch. Constanda

Authors
  1. I. Chudinovich
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  2. Ch. Constanda
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Received: January 11, 1999

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Chudinovich, I., Constanda, C. Solvability of initial-boundary value problems in bending of plates. Z. angew. Math. Phys. 51, 449–466 (2000). https://doi.org/10.1007/s000330050007

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  • DOI: https://doi.org/10.1007/s000330050007

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