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arXiv · 1410.6947

Degeneracy of the Characteristic Variety

Abraham D. Smith
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Abstract

The characteristic variety plays an important role in the analysis of the solution space of partial differential equations and exterior differential systems. This article studies the linear span of this variety, measuring its dimension via an integrable extension of the original system. In the PDE case with locally constant characteristic variety, this extension yields a recursive version of Guillemin normal form, inducing a sequence of foliations on integral manifolds.

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Abraham D. Smith. 2014-10-25. Degeneracy of the Characteristic Variety. https://arxiv.org/abs/1410.6947

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