# Some Algebraic Results Concerning the Characteristics of Overdetermined Partial Differential Equations

@article{Guillemin1968SomeAR, title={Some Algebraic Results Concerning the Characteristics of Overdetermined Partial Differential Equations}, author={V. Guillemin}, journal={American Journal of Mathematics}, year={1968}, volume={90}, pages={270} }

0. The purpose of this paper is to prove some results about the characteristics of overdetermined systems of linear partial differential equations. Since these results are of an algebraic nature the context of this discussion will be algebraic. In ??5-7 we have included a brief sketch of the analytical applications. We will begin by describing our two main results. Let V and W be finite dimensional vector spaces over the complex numbers, and let g be a subspace of iom (V, W). If V* denotes the… Expand