Resolvent estimates for scalar fields with electromagnetic perturbation
| dc.contributor.author | Tarulli, Mirko | |
| dc.date.accessioned | 2021-05-17T18:41:25Z | |
| dc.date.available | 2021-05-17T18:41:25Z | |
| dc.date.issued | 2004-12-07 | |
| dc.description.abstract | In this note we prove some estimates for the resolvent of the operator -Δ perturbed by the differential operator V(x, D) = iα(x) ∙ ∇ + V(x) in ℝ3. This differential operator is of short range type and a compact perturbation of the Laplacian on ℝ3. Also we find estimates in the space-time norm for the solution of the wave equation with such perturbation. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Tarulli, M. (2004). Resolvent estimates for scalar fields with electromagnetic perturbation. <i>Electronic Journal of Differential Equations, 2004</i>(146), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13567 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Perturbed wave equation | |
| dc.subject | Perturbed Schrödinger equation | |
| dc.subject | Perturbed Dirac equation | |
| dc.subject | Resolvent | |
| dc.subject | Short range perturbation | |
| dc.subject | Smoothing estimates | |
| dc.title | Resolvent estimates for scalar fields with electromagnetic perturbation | |
| dc.type | Article |