Denk, Robert and Mennicken, R. and Volevich, L. (2001) On elliptic operator pencils with general boundary conditions. INTEGRAL EQUATIONS AND OPERATOR THEORY, 39 (1). pp. 15-40. ISSN 0378-620X
Full text not available from this repository.Abstract
In this paper parameter-dependent partial differential operators are investigated which satisfy the condition of N-ellipticity with parameter, an ellipticity condition formulated with the use of the Newton polygon. For boundary value problems with general boundary operators we define N-ellipticity including an analogue of the Shapiro-Lopatinskii condition. It is shown that the boundary value problem is N-elliptic if and only if an a priori estimate with respect to certain parameter-dependent norms holds. These results are closely connected with singular perturbation theory and lead to uniform estimates for problems of Viskik-Lyusternik type containing a small parameter.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Mar 2022 07:33 |
| Last Modified: | 01 Mar 2022 07:33 |
| URI: | https://pred.uni-regensburg.de/id/eprint/41877 |
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