Boundary-Value Problems for the Squared Laplace Operator
| dc.creator | Esposito, Giampiero | |
| dc.date | 1998-09-04 | |
| dc.date | 2000-12-14 | |
| dc.date.accessioned | 2026-07-07T04:25:01Z | |
| dc.date.available | 2026-07-07T04:25:01Z | |
| dc.description | The squared Laplace operator acting on symmetric rank-two tensor fields is studied on a (flat) Riemannian manifold with smooth boundary. Symmetry of this fourth-order elliptic operator is obtained provided that such tensor fields and their first (or second) normal derivatives are set to zero at the boundary. Strong ellipticity of the resulting boundary-value problems is also proved. Mixed boundary conditions are eventually studied which involve complementary projectors and tangential differential operators. In such a case, strong ellipticity is guaranteed if a pair of matrices are non-degenerate. These results find application to the analysis of quantum field theories on manifolds with boundary. | |
| dc.description | 22 pages, plain Tex. In the revised version, section 5 has been amended | |
| dc.identifier | https://arxiv.org/abs/hep-th/9809031 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9809031 | |
| dc.identifier | Nuovo Cim. B114 (1999) 1029-1048; Erratum-ibid. B115 (2000) 1355 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55632 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Boundary-Value Problems for the Squared Laplace Operator | |
| dc.type | text |