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

Files

rd26.pdf(348.98 KB)

Date

2002

Authors

Denk, Robert

Volevič, Leonid R.

Publication type

Journal article

Published in

Translations Series 2 / American Mathematical Society ; 206 (2002). - pp. 29-64

Abstract

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.

Subject (DDC)

510 Mathematics

Keywords

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

Cite This

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. 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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