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Overdetermined Elliptic Systems
Author(s) -
Seiler Werner M.,
Tuomela Jukka
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310512
Subject(s) - overdetermined system , mathematics , differential (mechanical device) , jacobi elliptic functions , quarter period , elliptic partial differential equation , mathematical analysis , elliptic curve , differential equation , physics , thermodynamics
Abstract We show that the weights classically used for the definition of ellipticity are not necessary, as any differential system that is elliptic with weights becomes elliptic without weights during its completion. Furthermore, there are systems which are not elliptic for any choice of weights but whose completed form is nevertheless elliptic.