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A simple criterion for involutivity

Mansfield, Elizabeth L. (1996) A simple criterion for involutivity. Journal of the London Mathematical Society, 54 . pp. 323-345. ISSN 0024-6107. (doi:10.1112/jlms/54.2.323) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:18661)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL:
http://dx.doi.org/10.1112/jlms/54.2.323

Abstract

A simple criterion for the involutivity of a system of partial differential equations of polynomial type is proved. The criterion involves the equations themselves and does not require the system to be in orthonomic form. It is proved that a system of partial differential equations is involutive if it is a differential Grobner basis with respect to a total degree ordering, and if the compatibility conditions of the symbol equations of the system consist of equations of degree one. An algorithm for calculating these compatibility conditions is given.

Item Type: Article
DOI/Identification number: 10.1112/jlms/54.2.323
Additional information: Part 2
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Elizabeth Mansfield
Date Deposited: 25 Jun 2009 18:41 UTC
Last Modified: 16 Nov 2021 09:56 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/18661 (The current URI for this page, for reference purposes)

University of Kent Author Information

Mansfield, Elizabeth L..

Creator's ORCID: https://orcid.org/0000-0002-6778-2241
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