On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation

Kalmenov T.S.; Suragan D.

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On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation

机译：关于构造多调和方程Dirichlet问题Green函数的新方法

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By using a special decomposition of the fundamental solution, we construct a new representation of the Green function of the Dirichlet problem for the polyharmonic equation in a ball.

机译：通过使用基本解的特殊分解，我们构造了球中多谐方程的Dirichlet问题格林函数的新表示形式。

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《Differential equations: A translation of differensial'nye uraveniya 》 |2012年第3期| 共5页
作者
Kalmenov T.S.; Suragan D.;
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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. On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation [J] . T. Sh. Kal’menov, D. Suragan Differential Equations . 2012 ,第3期

机译：关于构造多调和方程Dirichlet问题Green函数的新方法
2. Green Function Representation in the Dirichlet Problem for Polyharmonic Equations in a Ball [J] . T. Sh. Kalmenov, B. D. Koshanov, M. Yu. Nemchenko Doklady. Mathematics . 2008 ,第1期

机译：球中多调和方程的Dirichlet问题中的格林函数表示
3. Representation for the Green's function of the Dirichlet problem for polyharmonic equations in a ball [J] . T. Sh. Kalmenov, B. D. Koshanov Siberian Mathematical Journal . 2008 ,第3期

机译：球中多调和方程的Dirichlet问题的格林函数表示
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. Chip-firing games with Dirichlet eigenvalues and discrete Green's functions. [D] . Ellis, Robert Byron, III. 2002

机译：具有Dirichlet特征值和离散格林函数的筹码游戏。
6. Assumption of Boundary Values and the Greens Function in the Dirichlet Problem for the General Linear Elliptic Equation [O] . Felix E. Browder 1953

机译：一般线性椭圆型方程Dirichlet问题中的边值和格林函数的假设
7. Dominance of positivity of the Green's function associated to a perturbed polyharmonic dirichlet boundary value problem by pointwise estimates [O] . Pulst Ludwig 2015

机译：逐点估计与摄动多调和狄利克雷边值问题相关的格林函数的正性
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

On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation

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