论文标题
变量分离的概括N谐波方程M维度和无界边界价值问题
Generalization of Separation of Variables n-Harmonic Equation m Dimension and Unbounded Boundary Value Problem
论文作者
论文摘要
变量分离的方法很重要，它已应用于物理，工程，化学和其他领域。它可以通过将变量从部分微分方程系统分离为普通微分方程系统来减少问题的扩散。但是，该方法在高阶偏微分方程中具有复杂性。在此Reserach中，我们通过使用n-Harmonic方程的多项式定理来概括此方法，用$ M $ dimension求解N-Harmonic方程，然后求解具有无界边界条件的重要部分微分方程。额外，卷积的应用。
The method of separation of variables is significant, it has been applied to physics, engineering , chemistry and other fields. It allows to reduce the diffculity of problems by separating the variables from partial differential equation system into ordinary differential equations system. However, this method has complexity in higher order partial differential equations. In this reserach, we generalize this method by using multinomial theorem of n-harmonic equation to solve n-harmonic equation with $m$ dimension and then solving an important class of partial differential equations with unbounded boundary conditions. Additionaly, application of convolution.
