NDLI: Overdetermined Elliptic Systems

Content Provider	Springer Nature Link
Author	Krupchyk, Katsiaryna Seiler, Werner M. Tuomela, Jukka
Copyright Year	2005
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.
Starting Page	309
Ending Page	351
Page Count	43
File Format	PDF
ISSN	16153375
Journal	Foundations of Computational Mathematics
Volume Number	6
Issue Number	3
e-ISSN	16153383
Language	English
Publisher	Springer-Verlag
Publisher Date	2005-09-23
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Computer Science Math Applications in Computer Science Linear and Multilinear Algebras, Matrix Theory Applications of Mathematics Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis Computational Theory and Mathematics Computational Mathematics

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Overdetermined Elliptic Systems