Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text

Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    6 0 0 0

Comptes Rendus Mathématique
Volume 341, n° 1
pages 15-20 (juillet 2005)
Doi : 10.1016/j.crma.2005.05.002
Received : 22 February 2005 ;  accepted : 10 May 2005
Problèmes de Goursat pour des systèmes semi-linéaires hyperboliques
Goursat problems for some semilinear hyperbolic systems

Duplex Elvis Houpa a , Marcel Dossa b
a Faculté des sciences, université de Ngaoundéré, B.P. 454, Ngaoundéré, Cameroun 
b Faculté des sciences, université de Yaoundé I, B.P. 812, Yaoundé, Cameroun 


Pour des systèmes dʼéquations semi-linéaires hyperboliques du second ordre à données initiales sur la réunion de deux hypersurfaces caractéristiques sécantes, et sous des hypothèses de structure assez générales sur les termes non linéaires, on montre dans un cadre dʼespaces de type Sobolev que la solution du problème de Goursat semi-linéaire ainsi posé est définie non seulement dans un voisinage assez petit de la sécante des deux hypersurfaces mais aussi dans un voisinage de la réunion toute entière de ces deux hypersurfaces. Pour citer cet article : D.E. Houpa, M. Dossa, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

The full text of this article is available in PDF format.

For some semilinear hyperbolic systems of the second order with initial data on two intersecting characteristic hypersurfaces, and under a general hypothesis on the structure of the nonlinear terms, we prove that the solution of the so-called semilinear Goursat problem is defined, not only on a small neighbourhood of the intersection of these hypersurfaces, but also in a neighbourhood of the entire union of the hypersurfaces. To cite this article: D.E. Houpa, M. Dossa, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

The full text of this article is available in PDF format.

© 2005  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Article Outline
You can move this window by clicking on the headline