On natural invariants and equivalence of differential operators

Abstract

We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of order $k\ge 2$ on a smooth manifold of dimension $n\ge 2$ and show their application to the equivalence problem of such operators.

References in corpus (2)

• On equivalence of third order linear differential operators on two-dimensional manifolds
• Natural differential invariants and equivalence of third order nonlinear differential operators

Cited by in corpus (1)

• On invariants and equivalence of differential operators under Lie pseudogroups actions