Denk, Robert and Faierman, M. and Moeller, M. (2002) An elliptic boundary problem for a system involving a discontinuous weight. MANUSCRIPTA MATHEMATICA, 108 (3). pp. 289-317. ISSN 0025-2611
Full text not available from this repository.Abstract
In a recent paper, Agranovich, Denk and Faierman dealt with a priori estimates, completeness, Abel-Lidskii summability, and eigenvalue asymptotics for scalar elliptic boundary eigenvalue problems involving discontinuous weights. Here we extend these results to the matrix valued case with a diagonal discontinuous weight matrix. The given region is subdivided into subregions on which the weights are continuous. Whereas in the scalar case the usual ellipticity conditions suffice to obtain a priori estimates, a counterexample shows that here transmission conditions at the boundaries of the subregions are also needed.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 19 Oct 2021 05:35 |
| Last Modified: | 19 Oct 2021 05:35 |
| URI: | https://pred.uni-regensburg.de/id/eprint/40130 |
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