幂零分次李代数微分方程的一个不变量

IF 0.6 4区数学 Q3 MATHEMATICS

Hokkaido Mathematical Journal Pub Date : 2018-10-01 DOI:10.14492/hokmj/1537948824

T. Noda

引用次数: 0

摘要

本文利用幂零分次李代数为接触变换下的偏微分方程提供了一个新的不变量。通过这个不变量，可以理解偏微分方程的各种几何行为。作为一个典型的类，我们根据

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a certain invariant of differential equations associated with nilpotent graded Lie algebras

In this paper, we provide a new invariant for partial differential equations (PDEs) under contact transformations by using nilpotent graded Lie algebras. By virtue of this invariant, various geometric behavior of PDEs can be understood. As a typical class, we clarify geometric behavior of second-order PDEs in terms of our

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来源期刊

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.