Solution of the Dirichlet Problem with Polynomial Data for the Polyharmonic Equation in a Ball

Karachik V. V.

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Solution of the Dirichlet Problem with Polynomial Data for the Polyharmonic Equation in a Ball

机译：球中多调和方程具有多项式数据的狄利克雷问题的求解

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We find a polynomial solution of the Dirichlet problem with polynomial boundary data for the polyharmonic equation with polynomial right-hand side in the unit ball.

机译：我们为单位球中具有多项式右侧的多项调和方程找到了具有多项式边界数据的Dirichlet问题的多项式解。

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《Differential equations: A translation of differensial'nye uraveniya》 |2015年第8期|共10页
作者
Karachik V. V.;
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正文语种 eng
中图分类微分方程、积分方程;
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1. Solution of the Dirichlet Problem with Polynomial Data for the Polyharmonic Equation in a Ball [J] . Karachik V. V. Differential equations: A translation of differensial'nye uraveniya . 2015,第8期

机译：球中多调和方程具有多项式数据的狄利克雷问题的求解
2. Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball [J] . Karachik V.V., Antropova N.A. Differential equations: A translation of differensial'nye uraveniya . 2013,第2期

机译：球中双调和方程的Dirichlet问题的多项式解
3. Construction of polynomial solutions to the Dirichlet boundary value problem for the 3-harmonic equation in the unit ball [J] . Valery V. Karachik, Sanjar Abdoulaev Pure and Applied Mathematics Journal . 2012,第1期

机译：单位球中3-调和方程Dirichlet边值问题的多项式构造
4. On the representation of the Green function of the Dirichlet problem and their properties for the polyharmonic equations [C] . Bakytbek D. Koshanov, Maira D. Koshanova International Conference on Advancements in Mathematical Sciences . 2015

机译：关于Dirichlet问题的绿色功能的表示及其对多球方程的性质
5. Infinitely Many Solutions to Asymmetric, Polyharmonic Dirichlet Problems [D] . Sterjo, Edger. 2018

机译：非对称多调和狄利克雷问题的无穷多个解
6. Solution of the pulse width modulation problem using orthogonal polynomials and Korteweg-de Vries equations [O] . D. V. Chudnovsky, G. V. Chudnovsky 1999

机译：使用正交多项式和Korteweg-de Vries方程求解脉冲宽度调制问题
7. Polynomial Solutions of Poisson and Polyharmonic Equations in Rn [O] . Yeh R.Z. 1993

机译：Rn中泊松和多调和方程的多项式解
8. Positivity for Equations Involving Polyharmonic Operators with Dirichlet BoundaryConditions [R] . Grunau, H. C., Sweers, G. 1995

机译：含Dirichlet边界条件的多调和算子方程的正定性

Solution of the Dirichlet Problem with Polynomial Data for the Polyharmonic Equation in a Ball

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