Representation for the Green’s function of the Dirichlet problem for polyharmonic equations in a ball |
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| Authors: | T Sh Kal’menov B D Koshanov |
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| Institution: | (1) Research Center for Physics and Mathematics of the Ministry for Education and Science of the Republic of Kazakhstan, Almaty, Kazakhstan |
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| Abstract: | We explicitly construct the Green’s function for the Dirichlet problem for polyharmonic equations in a ball in a space of arbitrary dimension. The formulas for the Green’s function are of interest in their own right. In particular, the explicit representations for a solution to the Dirichlet problem for the biharmonic equation are important in elasticity. |
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| Keywords: | polyharmonic equation Dirichlet problem Green’ s function |
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