Determining nonsmooth first order terms from partial boundary measurements
| dc.creator | Knudsen, Kim | |
| dc.creator | Salo, Mikko | |
| dc.date | 2006-09-05 | |
| dc.date.accessioned | 2026-07-07T07:24:31Z | |
| dc.date.available | 2026-07-07T07:24:31Z | |
| dc.description | We extend results of Dos Santos Ferreira-Kenig-Sjoestrand-Uhlmann (math.AP/0601466) to less smooth coefficients, and we show that measurements on part of the boundary for the magnetic Schroedinger operator determine uniquely the magnetic field related to a Hoelder continuous potential. We give a similar result for determining a convection term. The proofs involve Carleman estimates, a smoothing procedure, and an extension of the Nakamura-Uhlmann pseudodifferential conjugation method to logarithmic Carleman weights. | |
| dc.identifier | https://arxiv.org/abs/math/0609133 | |
| dc.identifier | http://arxiv.org/abs/math/0609133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116385 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35R30 | |
| dc.title | Determining nonsmooth first order terms from partial boundary measurements | |
| dc.type | text |