Geodesic
More on a~Boundary Value Problem with Polynomials
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 286-288.

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An approximation in Sobolev classes is obtained to the solution of a general boundary value problem for a self-adjoint elliptic operator of order $2l$ with constant coefficients on an $n$-dimensional ellipsoid. The right-hand side of the equation is a function from the class $W_2^r$, and the boundary conditions are homogeneous. The approximation is obtained by algebraic polynomials that are solutions to the boundary value problem for the same differential operator. 
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S. M. Nikol'skii. More on a~Boundary Value Problem with Polynomials. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 286-288. http://geodesic.mathdoc.fr/item/TM_2001_232_a22/

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