We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Overdetermined Elliptic Systems.
- Authors
Krupchyk, Katsiaryna; Seiler, Werner M.; Tuomela, Jukka
- Abstract
We consider linear overdetermined systems of partial differential equations. We show that the introduction of weights classically used for the definition of ellipticity is not necessary, as any system that is elliptic with respect to some weights becomes elliptic without weights during its completion to involution. Furthermore, it turns out that there are systems which are not elliptic for any choice of weights but whose involutive form is nevertheless elliptic. We also show that reducing the given system to lower order or to an equivalent system with only one unknown function preserves ellipticity.
- Subjects
PARTIAL differential equations; ELLIPTIC functions; TRANSCENDENTAL functions; MATHEMATICAL variables; MATHEMATICS
- Publication
Foundations of Computational Mathematics, 2006, Vol 6, Issue 3, p309
- ISSN
1615-3375
- Publication type
Article
- DOI
10.1007/s10208-004-0161-y