Geodesic
More on a~Boundary Value Problem with Polynomials
Informatics and Automation, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 286-288

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TRSPY_2001_232_a22,
     author = {S. M. Nikol'skii},
     title = {More on {a~Boundary} {Value} {Problem} with {Polynomials}},
     journal = {Informatics and Automation},
     pages = {286--288},
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     volume = {232},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2001_232_a22/}
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S. M. Nikol'skii. More on a~Boundary Value Problem with Polynomials. Informatics and Automation, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 286-288. http://geodesic.mathdoc.fr/item/TRSPY_2001_232_a22/