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arXiv · 2211.04860

A note on the nonlinear derived Cauchy problem

Frédéric Paugam
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Abstract

We define and study a generalization of the analytic Cauchy problem, that specializes to the Cauchy-Kowaleskaya-Kashiwara problem in the linear case. The main leitmotive of this text is to adapt Kashiwara's formulation of this problem both to the relatively D-algebraic case and to the derived analytic situation. Along the way, we define the characteristic variety of a derived nonlinear partial differential system.

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Frédéric Paugam. 2022-11-09. A note on the nonlinear derived Cauchy problem. https://arxiv.org/abs/2211.04860

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