A note on the nonlinear derived Cauchy problem
Algebraic Geometry
2022-11-10 v1 Analysis of PDEs
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.
Cite
@article{arxiv.2211.04860,
title = {A note on the nonlinear derived Cauchy problem},
author = {Frédéric Paugam},
journal= {arXiv preprint arXiv:2211.04860},
year = {2022}
}