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arXiv · 1812.03045

A Note on Algebraic Linear Partial Differential Equations

Stefan Günther
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Abstract

In this note, we show that a very general system of algebraic linear partial differential equations has zero kernel, applying basic techniques of the theory of jet-modules and elementary base change theory. In particular, in contrast to the differentiable case, a very general system of algebraic ordinary differential equations has zero kernel.

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Stefan Günther. 2018-12-06. A Note on Algebraic Linear Partial Differential Equations. https://arxiv.org/abs/1812.03045

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