## Elliptic boundary value problems with large parameter for mixed order systems

2002
##### Authors
Volevič, Leonid R.
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.
510 Mathematics
##### Keywords
Mixed order systems,Douglis-Nirenberg systems,ellipticity with parameter,a priori estimate
##### Cite This
ISO 690DENK, 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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