A Full System of Invariants for Third-Order Linear Partial Differential Operators in General Form
نویسندگان
چکیده
We find a full system of invariants with respect to gauge transformations L → g−1Lg 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 the special, but important, case p = q = 1.
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