Solvability of elliptic systems with square integrable boundary data
| dc.creator | Auscher, Pascal | |
| dc.creator | Axelsson, Andreas | |
| dc.creator | McIntosh, Alan | |
| dc.date | 2008-09-29 | |
| dc.date.accessioned | 2026-07-07T10:06:11Z | |
| dc.date.available | 2026-07-07T10:06:11Z | |
| dc.description | We consider second order elliptic divergence form systems with complex measurable coefficients $A$ that are independent of the transversal coordinate, and prove that the set of $A$ for which the boundary value problem with $L_2$ Dirichlet or Neumann data is well posed, is an open set. Furthermore we prove that these boundary value problems are well posed when $A$ is either Hermitean, block or constant. Our methods apply to more general systems of PDEs and as an example we prove perturbation results for boundary value problems for differential forms. | |
| dc.description | This paper replaces its predecessor "A new approach to solvability of some elliptic pde's with square integrable boundary data" by the same authors | |
| dc.identifier | https://arxiv.org/abs/0809.4968 | |
| dc.identifier | http://arxiv.org/abs/0809.4968 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170237 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J25, 35J55, 47N20 | |
| dc.title | Solvability of elliptic systems with square integrable boundary data | |
| dc.type | text |