论文标题

关于非线性派生的库奇问题的注释

A note on the nonlinear derived Cauchy problem

论文作者

Paugam, Frédéric

论文摘要

我们定义并研究了分析性库奇问题的概括,该问题专门研究线性案例中的cauchy-kowaleskaya-kashiwara问题。本文的主要律师是将Kashiwara对相对D-代数案件和派生的分析状况的提出。一路上,我们定义了派生的非线性部分差分系统的特征变化。

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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