On the spectrum of the reduced wave operator with cylindrical discontinuity
| dc.creator | Jager, Willi | |
| dc.creator | Saito, Yoshimi | |
| dc.date | 1999-02-14 | |
| dc.date.accessioned | 2026-07-07T05:27:55Z | |
| dc.date.available | 2026-07-07T05:27:55Z | |
| dc.description | Consider the differential operator H = -(1/m(x))L, where L is the N-dimensional Laplacian, in the weighted Hilbert space of square integrable functions on N-dimensional Euclidean space with weight m(x)dx. Here m(x) is a positive step function with a surface S of discontinuity (the separation surface). So far the stratified media in which the separating surface S consists of paralell planes have been vigorously studied. Also the case where S has a cone shape has been discussed. In this work we shall deal with a new type of discontinuity which we call cylindrical discontinuity. Under this condition we shall use the limiting absorption method to prove that H is absolute continuous. Our method is based on a apriori estimates of radiation condition term. | |
| dc.description | 36 pages; no figures | |
| dc.identifier | https://arxiv.org/abs/math/9902085 | |
| dc.identifier | http://arxiv.org/abs/math/9902085 | |
| dc.identifier | Forum Mathematicum 9 (1997) 29-60 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78103 | |
| dc.subject | Spectral Theory | |
| dc.title | On the spectrum of the reduced wave operator with cylindrical discontinuity | |
| dc.type | text |