Denk, Robert and Volevich, Leonid R. (2000) A priori estimates for a singularly perturbed mixed-order boundary value problem. RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 7 (3). pp. 288-318. ISSN 1061-9208
Full text not available from this repository.Abstract
In this paper we study mixed-order (Douglis-Nirenberg) boundary value problems that depend on a real parameter but are not elliptic with parameter in the sense of Agmon-Agranovich-Vishik. Using the method of the Newton polygon, we prove a priori estimates for the solutions of such problems in the corresponding Sobolev spaces. For the related singularly perturbed problem, the boundary layer structure of the solutions is described. As an application of the a priori estimate, we obtain new estimates for the transmission problem studied by Faierman [7].
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Apr 2022 12:18 |
| Last Modified: | 05 Apr 2022 12:18 |
| URI: | https://pred.uni-regensburg.de/id/eprint/42391 |
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