Singularities in the geometric theory of differential equations

Ulrike Kant; Werner M. Seiler

doi:10.3934/proc.2011.2011.784

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2011, Volume 2011: 784-793. Doi: 10.3934/proc.2011.2011.784 open access

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Singularities in the geometric theory of differential equations

Ulrike Kant^1, and
Werner M. Seiler^1,

1.
Institut für Mathematik, Universität Kassel, 34132 Kassel

Received: June 30, 2010

Revised: December 31, 2010

Published: August 2017

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Abstract

We briefly recall the basic ideas of the Vessiot theory, a geometric approach to differential equations based on vector fields. Then we show that it allows to extend naturally some results on singularities for ordinary differential equations to maximally overdetermined partial differential equations.

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Mathematics Subject Classification: Primary: 35A30 Secondary: 34A09, 35A20, 35D99.

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