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Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2022

A note on the nonlinear derived Cauchy problem

Résumé

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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hal-03845063 , version 1 (09-11-2022)

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Frédéric Paugam. A note on the nonlinear derived Cauchy problem. 2022. ⟨hal-03845063⟩
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