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. (The full text of this publication is not available from this repository)

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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
Additional information: Part 2
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: F.D. Zabet
Date Deposited: 25 Jun 2009 18:41
Last Modified: 29 Apr 2014 15:34
Resource URI: http://kar.kent.ac.uk/id/eprint/18661 (The current URI for this page, for reference purposes)
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