Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems
| dc.creator | Grubb, Gerd | |
| dc.date | 2003-02-24 | |
| dc.date | 2004-03-15 | |
| dc.date.accessioned | 2026-07-07T04:55:31Z | |
| dc.date.available | 2026-07-07T04:55:31Z | |
| dc.description | For a Dirac-type operator D with a spectral boundary condition, the associated heat operator trace has an expansion in powers and log-powers of t. Some of the log-coefficients vanish in the Atiyah-Patodi-Singer product case. We here investigate the effect of perturbations of D, by use of a pseudodifferential parameter-dependent calculus for boundary problems. It is shown that the first k log-terms are stable under perturbations of D vanishing to order k at the boundary (and the nonlocal power coefficients behind them are only locally perturbed). For perturbations of D from the APS product case by tangential operators commuting with the tangential part A, all the log-coefficients vanish if the dimension is odd. | |
| dc.description | Published. Abstract added, small typos corrected | |
| dc.identifier | https://arxiv.org/abs/math/0302289 | |
| dc.identifier | http://arxiv.org/abs/math/0302289 | |
| dc.identifier | Ann.Global Analysis Geom. 24: 1-51, 2003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66608 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Spectral Theory | |
| dc.subject | 35P99, 35S15, 58J28 | |
| dc.title | Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems | |
| dc.type | text |