Construction of polynomial solutions to the Dirichlet problem for the biharmonic equation in a ball

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Polynomial solution to the Dirihlet problem for the nonhomogeneous biharmonic equation with polynomial right hand side and polynomial boundary data in a ball is constructed. Explicit representation of harmonic functions in the Almansi representation is used.

Biharmonic equation, polynomial solutions, almansi equation, dirichletproblem

Короткий адрес: https://sciup.org/147158684

IDR: 147158684

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