线性齐次偏微分方程组吴特征列和Janet基的等价性  

EQUALITY BETWEEN WU-CHARACTERISTIC SETS AND JANET BASES FOR LINEAR HOMOGENEOUS PARTIAL DIFFERENTIAL EQUATIONS

作　　者：张善卿[1] 李志斌[2] 潘素起[2] 

机构地区：[1]杭州电子科技大学计算机学院,杭州310018 [2]华东师范大学计算机科学技术系,上海200062

出　　处：《系统科学与数学》2005年第4期429-438,共10页Journal of Systems Science and Mathematical Sciences

基　　金：杭州电子科技大学科研启动基金(KYS071505001)

摘　　要：本文简单介绍了吴微分特征列和Janet基,利用线性齐次微分方程组既约化基的概念,证明了线性齐次偏微分方程组的正规化的吴微分特征列和正规化的、自约化的Janet基均是既约化基,从而由既约化基的唯一性,得到了它们的等价性定理。First,Wu-characteristic sets and Janet bases for linear homogeneous partial differential equations（LHPDES） are introduced, and then using the concept of reduced bases for LHPDES, we draw a conclusion that both canonical Wu-characteristic set and canonical-autoreduced Janet bases for LHPDES are the reduced bases, and equality between them is obtained according to the uniqueness of the reduced bases.

关 键 词：线性齐次微分方程组 吴微分特征列 Janet基 既约化基 偏微分方程组 等价性定理 特征列 齐次 线性 正规化 

分 类 号：O175.2[理学—数学] TU457[理学—基础数学]