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Problème de Goursat Pour Les Systèmes d''edp Et Condition de Lévi by Seifoudini-M

Problème de Goursat Pour Les Systèmes d''edp Et Condition de Lévi

by Seifoudini-M
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Book cover type: Paperback
  • ISBN13: 9786131512209
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Omniscriptum
  • Publisher Imprint: Omniscriptum
  • Publication Date:
  • Pages: 92
  • Original Price: GBP 32.0
  • Language: French
  • Edition: N/A
  • Item Weight: 146 grams
  • BISAC Subject(s): General

Nous étudions dans ce travail un problème de Goursat pour des systèmes d'équations aux dérivées partielles avec les conditions de Levi. Nous améliorons les résultats du Pr D. Gourdin qui a étudié le problème de Cauchy linéaire dans les espaces de Sobolev et dans les espaces C-infini sur R_t × R n_x pour les opérateurs matriciels faiblement hyperboliques à caractéristiques doubles en calculant le domaine de dépendance dans la première partie tout en rappelant le détail des démonstrations utilisées en les améliorant sur les diagonaliseurs. Dans seconde partie, nous étudions le problème de Goursat dans les espaces de Sobolev pour un système de N équations à N fonctions inconnues des variables (t, x, y) dans R_t×R_x×R_y n. Ce système peut ètre décrit comme une composition de deux opérateurs aux dérivées partielles à coefficients matriciels hyperboliques respectivement dans la direction de t pour le premier et dans la direction de x pour le second avec des caractéristiques doubles et des conditions de Levi scalaires et avec un opérateur matriciel aux dérivées partielles additif résiduel spécifique. Nous calculons aussi son domaine de dépendance.

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