English

The Cauchy problem for D-modules on Ran spaces

Algebraic Geometry 2013-06-17 v1 Analysis of PDEs

Abstract

We will adopt an elementary approach to D-modules on Ran spaces in terms of two-limits; the aim here is to define the category of coherent D-modules, characteristic varieties and non-characteristic maps. An application will be the proof of the Cauchy-Kowaleski-Kashiwara theorem in this setting.

Cite

@article{arxiv.1306.3376,
  title  = {The Cauchy problem for D-modules on Ran spaces},
  author = {G. Bonavolontà},
  journal= {arXiv preprint arXiv:1306.3376},
  year   = {2013}
}

Comments

15 pages

R2 v1 2026-06-22T00:33:53.514Z