Uniqueness results for the Dirichlet problem for higher order elliptic equations in polyhedral angles (Q481620)

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scientific article; zbMATH DE number 6380249
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Uniqueness results for the Dirichlet problem for higher order elliptic equations in polyhedral angles
scientific article; zbMATH DE number 6380249

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    Uniqueness results for the Dirichlet problem for higher order elliptic equations in polyhedral angles (English)
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    12 December 2014
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    The authors consider the Dirichlet boundary value problem for higher order elliptic equations in divergence form with discontinuous coefficients in polyhedral angles. Precisely, \[ \begin{cases} \sum_{|\alpha|=|\beta|=m} D^\alpha(a_{\alpha\beta}(x)D^\beta u(x))=0 & \text{ in } \mathbb R^n_l\cr \partial^ju(x)/\partial\nu^j =0 & \text{ on } \partial \mathbb R^n_l, j=0,\ldots, m-1\,. \end{cases} \] Some uniqueness results are obtained.
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    higher order elliptic equations
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    Dirichlet problem
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    discontinuous coefficients
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