任意阶和维数的线性偏微分算子的两因子分解的加细
Refinement of Two-Factor Factorizations of a Linear Partial Differential Operator of Arbitrary Order and Dimension
摘要：
给定一个线性偏微分算子的右因子和左因子，在什么条件下可以将这两个因子分解精化为一个三因子分解？这个问题是解决的LPDO的任意顺序和数量的变量。证明了LPDO的不完全因子分解的一个更一般的结果。
英文摘要：
Given a right factor and a left factor of a Linear Partial Differential Operator (LPDO), under which conditions we can refine these two-factor factorizations into one three-factor factorization? This problem is solved for LPDOs of arbitrary order and number of variables. A more general result for the incomplete factorizations of LPDOs is proved as well.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
