Browsing by Author "Beagles, Adam Edward"

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    Singularities of rotationally symmetric solutions of boundary value problems for the Lamé equations
    (1991) Beagles, Adam Edward; Sändig, Anna-Margarete
    We apply the theory of elliptic boundary value problems in non-smooth domains with conical points to rotationally symmetric solutions of boundary value problems for the Lamé equations. The resulting expansion involves singular vector-functions which, in turn, depend on a parameter, α. We here present equations which determine the values of α for either stress-free or Dirichlet boundary conditions. We give a numerical algorithm whereby α can be computed and present some plots of the values obtained. The singular vector-functions are given explicitly and we present equations for the computation of the coefficients of the expansion.