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Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains

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Abstract

The Dirichlet problem for the plane elasticity problem on a convex polygonal domain is considered and it is proved that for data in L 2 the H 2 regularity estimate holds with constants independent of the Lamé coefficients.

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Authors and Affiliations

  1. Dept. of Mathematics, The Pennsyvania State University, University Park, PA 16802, USA

    C. Bacuta

  2. Dept. of Mathematics, Texas A & M University, College Station, TX 77843, USA

    J. H. Bramble

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  1. C. Bacuta
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  2. J. H. Bramble
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Correspondence to C. Bacuta.

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Bacuta, C., Bramble, J. Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains . Z. angew. Math. Phys. 54, 874–878 (2003). https://doi.org/10.1007/s00033-003-3211-4

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  • DOI: https://doi.org/10.1007/s00033-003-3211-4

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