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arXiv · 2212.12684

On natural invariants and equivalence of differential operators

Valentin Lychagin·Valeriy Yumaguzhin
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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.

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Valentin Lychagin, Valeriy Yumaguzhin. 2022-12-24. On natural invariants and equivalence of differential operators. https://doi.org/10.1016/j.geomphys.2023.104856

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