A full system of invariants for third-order linear partial differential operators in general form

被引：0

作者：

Shemyakova, Ekaterina ^{[1
]}

Winkler, Franz ^{[1
]}

机构：

[1] Johannes Kepler Univ Linz, RISC, Altenbergerstr 69, A-4040 Linz, Austria

来源：

COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, PROCEEDINGS | 2007年 / 4770卷

关键词：

linear partial differential operators; invariants; gauge transformations;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We find a full system of invariants with respect to gauge transformations L --> g(-1)Lg for third-order hyperbolic linear partial differential operators on the plane. The operators are considered in a normalized form, in which they have the symbol Sym(L) = (pX + qY)XY for some non-zero bivariate functions p and q. For this normalized form, explicit formulae are given. The paper generalizes a previous result for the special, but important, case p = q = 1.

引用

页码：360 / +

页数：2

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