Mansfield, E.L. (1996) A simple criterion for involutivity. Journal of the London Mathematical Society-Second Series, 54 . pp. 323-345. ISSN 0024-6107.
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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.
|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:||25 Jun 2009 18:41|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/18661 (The current URI for this page, for reference purposes)|
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