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.
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页码：360 / +
页数：2
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