On natural invariants and equivalence of differential operators

被引：2
作者：
Lychagin, Valentin
Yumaguzhin, Valeriy
机构：
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2023年 / 190卷
关键词：
Linear partial differential operator; Nonlinear partial differential operator; Jet bundle; Differential invariant; Equivalence problem;
D O I：
10.1016/j.geomphys.2023.104856
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of order k > 2 on an n-dimensional manifold, n > 2, and apply the results to the equivalence problem of such operators. (c) 2023 Elsevier B.V. All rights reserved.
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页数：10
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