Parameter-elliptic boundary value problems connected with the Newton polygon

Denk, Robert; Volevič, Leonid R.

Parameter-elliptic boundary value problems connected with the Newton polygon

Dateien

Parameter_elliptic_boundary_value_problems_connected_with_the_Newton_polygon.pdfGröße: 361.07 KBDownloads: 101

Datum

2002

Autor:innen

Denk, Robert

Volevič, Leonid R.

URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-50677

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

Differential and Integral Equations. 2002, 15(3), pp. 289-326

Zusammenfassung

In this paper pencils of partial differential operators depending polynomially on a complex parameter and corresponding boundary value problems with general boundary conditions are studied. We define a concept of ellipticity for such problems (for which the parameter-dependent symbol in general is not quasi-homogeneous) in terms of the Newton polygon and introduce related parameter-dependent norms. It is shown that this type of ellipticity leads to unique solvability of the boundary value problem and to two-sided a priori estimates for the solution.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

DENK, Robert, Leonid R. VOLEVIČ, 2002. Parameter-elliptic boundary value problems connected with the Newton polygon. In: Differential and Integral Equations. 2002, 15(3), pp. 289-326

BibTex

@article{Denk2002Param-511,
  year={2002},
  title={Parameter-elliptic boundary value problems connected with the Newton polygon},
  number={3},
  volume={15},
  journal={Differential and Integral Equations},
  pages={289--326},
  author={Denk, Robert and Volevič, Leonid R.}
}

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