GREEN’S FUNCTIONS AND CORRECT RESTRICTIONS UF THE BIHARMONIC OPERATOR
ФУНКЦИЙ ГРИНА И КОРРЕКТНЫЕ СУЖЕНИЯ БИГАРМОНИЧЕСКОГО ОПЕРАТОРА
Koshanov B.D. Oralbekova N.O.
2025M. K. Ammosov North-Eastern Federal University
Mathematical Notes of NEFU
2025#32Issue 281 - 84 pp.
This work is devoted to the construction of the Green’s function of the classical Dirichlet, Neumann and Robin problems for the Poisson equation in a multidimensional ball, a constructive method for constructing the Green’s function of the Dirichlet problem for a polyharmonic (biharmonic) equation in a multidimensional ball and a description of correct boundary value problems for polyharmonic operators.
correct restrictions of polyharmonic operators , Dirichlet problem , Neumann problem , Poisson equation , polyharmonic and biharmonic equations
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Institute of Mathematics and Mathematical Modeling, 125 Pushkin Street, Almaty, 050010, Kazakhstan
East Kazakhstan State Technical University named after D. Serikbayev, 19 Serikbayev Street, Ust-Kamenogorsk, 070000, Kazakhstan
Institute of Mathematics and Mathematical Modeling
East Kazakhstan State Technical University named after D. Serikbayev
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