The hyperbolic region for hyperbolic ...
Type de document :
Article dans une revue scientifique: Article original
Titre :
The hyperbolic region for hyperbolic boundary value problems
Auteur(s) :
Titre de la revue :
Osaka Journal of Mathematics
Pagination :
457-469
Éditeur :
Osaka University
Date de publication :
2011-12-31
ISSN :
0030-6126
Mot(s)-clé(s) en anglais :
Hyperbolic region
Hyperbolic systems
boundary value problems
Hyperbolic systems
boundary value problems
Discipline(s) HAL :
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Résumé en anglais : [en]
The well-posedness of hyperbolic initial boundary value problems is linked to the occurrence of zeros of the so-called Lopatinskii determinant. For an important class of problems, the Lopatinskii determinant vanishes in ...
Lire la suite >The well-posedness of hyperbolic initial boundary value problems is linked to the occurrence of zeros of the so-called Lopatinskii determinant. For an important class of problems, the Lopatinskii determinant vanishes in the hyperbolic region of the frequency domain and nowhere else. In this paper, we give a criterion that ensures that the hyperbolic region coincides with the projection of the forward cone. We give some examples of strictly hyperbolic operators that show that our criterion is sharp.Lire moins >
Lire la suite >The well-posedness of hyperbolic initial boundary value problems is linked to the occurrence of zeros of the so-called Lopatinskii determinant. For an important class of problems, the Lopatinskii determinant vanishes in the hyperbolic region of the frequency domain and nowhere else. In this paper, we give a criterion that ensures that the hyperbolic region coincides with the projection of the forward cone. We give some examples of strictly hyperbolic operators that show that our criterion is sharp.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Collections :
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