Fundamental solutions in the Colombeau framework: applications to solvability and regularity theory
| dc.creator | Garetto, Claudia | |
| dc.date | 2007-01-12 | |
| dc.date | 2007-01-30 | |
| dc.date.accessioned | 2026-07-07T07:43:34Z | |
| dc.date.available | 2026-07-07T07:43:34Z | |
| dc.description | In this article we introduce the notion of fundamental solution in the Colombeau context as an element of the dual $\LL(\Gc(\R^n),\wt{\C})$. After having proved the existence of a fundamental solution for a large class of partial differential operators with constant Colombeau coefficients, we investigate the relationships between fundamental solutions in $\LL(\Gc(\R^n),\wt{\C})$, Colombeau solvability and $\G$- and $\Ginf$-hypoellipticity respectively. | |
| dc.identifier | https://arxiv.org/abs/math/0701344 | |
| dc.identifier | http://arxiv.org/abs/math/0701344 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122874 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 46F30; 35E05 | |
| dc.title | Fundamental solutions in the Colombeau framework: applications to solvability and regularity theory | |
| dc.type | text |