Micro-support and Cauchy problem for temperate solutions of regular $\cal D$-Modules
| dc.creator | Kashiwara, Masaki | |
| dc.creator | Fernandes, Teresa Monteiro | |
| dc.creator | Schapira, Pierre | |
| dc.date | 2000-12-12 | |
| dc.date.accessioned | 2026-07-07T04:39:10Z | |
| dc.date.available | 2026-07-07T04:39:10Z | |
| dc.description | Let $X$ be a complex manifold, $V$ a smooth involutive submanifold of $T^*X$, $\cal M$ a microdifferential system regular along $V$, and $F$ an $\mathbb{R}$-constructible sheaf on $X$. The complex of temperate microfunction solutions of $\cal M$ associated with $F$ is now well understood. In this paper we study the temperate case and give a bound to the micro-support of the temperate microfunction solution sheaves and solve the Cauchy problem under suitable hyperbolicity conditions. | |
| dc.description | 20 pages, Latex 2e, correct some typos on the abstract, which incorrectly used macros | |
| dc.identifier | https://arxiv.org/abs/math/0012088 | |
| dc.identifier | http://arxiv.org/abs/math/0012088 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60552 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Complex Variables | |
| dc.title | Micro-support and Cauchy problem for temperate solutions of regular $\cal D$-Modules | |
| dc.type | text |