A Full System of Invariants for Third-Order Linear Partial Differential Operators in General Form

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 SymL = (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

• Type: Conference
• Year: 2007
• Where: CASC
• Authors: Ekaterina Shemyakova, Franz Winkler
• Keywords: CASC 2007, Mathematics, Non-zero Bivariate Functions, Normalized Form, Third-order Hyperbolic Linear