Elliptic boundary value problems with large parameter for mixed order systems

Denk, Robert; Volevič, Leonid R.

Elliptic boundary value problems with large parameter for mixed order systems

Dateien

rd26.pdfGröße: 348.98 KBDownloads: 228

Datum

2002

Autor:innen

Denk, Robert

Volevič, Leonid R.

URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-50635

Link zur Lizenz

Attribution-NonCommercial-NoDerivs 2.0 Generic

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Translations Series 2 / American Mathematical Society. 2002, 206, pp. 29-64

Zusammenfassung

In this paper boundary value problems are studied for systems with large parameter, elliptic in the sense of Douglis-Nirenberg. We restrict ourselves on model problems acting in the half-space. It is possible to define parameter-ellipticity for such problems, in particular we formulate Shapiro-Lopatinskii type conditions on the boundary operators. It can be shown that parameter-elliptic boundary value problems are uniquely solvable and that their solutions satisfy uniform a priori estimates in parameter-dependent norms. We essentially use ideas from Newton's polygon method and of Vishik-Lyusternik boundary layer theory.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Mixed order systems, Douglis-Nirenberg systems, ellipticity with parameter, a priori estimate

Zitieren

ISO 690

DENK, Robert, Leonid R. VOLEVIČ, 2002. Elliptic boundary value problems with large parameter for mixed order systems. In: Translations Series 2 / American Mathematical Society. 2002, 206, pp. 29-64

BibTex

@article{Denk2002Ellip-662,
  year={2002},
  title={Elliptic boundary value problems with large parameter for mixed order systems},
  volume={206},
  journal={Translations Series 2 / American Mathematical Society},
  pages={29--64},
  author={Denk, Robert and Volevič, Leonid R.}
}

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