Denk, R. and Mennicken, R. and Volevich, L. (2000) Boundary value problems for a class of elliptic operator pencils. INTEGRAL EQUATIONS AND OPERATOR THEORY, 38 (4). pp. 410-436. ISSN 0378-620X
Full text not available from this repository.Abstract
In this paper operator pencils A(x, D, lambda) are studied which act on a manifold with boundary and satisfy the condition of N-ellipticity with parameter, a generalization of the notion of ellipticity with parameter as introduced by Agmon and Agranovich-Vishik. Sobolev spaces corresponding to the Newton polygon are defined and investigated; in particular it is possible to describe their trace spaces. With respect to these spaces, an a priori estimate is proved for the Dirichlet boundary value problem connected with an N-elliptic pencil.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Mar 2022 10:51 |
| Last Modified: | 14 Mar 2022 10:51 |
| URI: | https://pred.uni-regensburg.de/id/eprint/42006 |
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