Hostname: page-component-76fb5796d-9pm4c Total loading time: 0 Render date: 2024-04-25T19:08:30.916Z Has data issue: false hasContentIssue false

Solutions d'une classe de systèmes symétriques

Published online by Cambridge University Press:  14 February 2012

Said Benachour
Affiliation:
Institut de Mathématiques et Sciences Physiques, Université de Nice

Synopsis

Let Ω be an open set of ℝm; we consider some symmetric singular systems:

We study the existence and uniqueness of a solution of the problem Lu = f plus boundary conditions when the characteristic matrix is of constant rank only on the boundary.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1977

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Alinhac, S.Systèmes hyperboliques singuliers, à paraître.Google Scholar
2Agranovic, M. S.Positive boundary problems for some systems of first order. Trans. Moscow Math. Soc. 16 (1967), 125.Google Scholar
3Bardos, C.Problèmes aux limites pour les équations du 1er ordre. Ann. Sci. École Norm. Sup. 3 (1970), 185233.CrossRefGoogle Scholar
4Friedrichs, K. O. and Lax, P. D.Boundary value problems for first order operators. Comm. Pure Appl. Math. 18 (1965), 355388.CrossRefGoogle Scholar
5Kato, T.Perturbation theory for linear operators (Berlin: Springer, 1966).Google Scholar
6Lax, P. D. and Phillips, R. S.Local boundary condition for dissipative symmetric linear differential operators. Comm. Pure Appl. Math. 13 (1960), 427455.CrossRefGoogle Scholar
7Phillips, R. S. and Sarason, L.Singular symmetric positive first order differential operators. J. Math. Mech. 15 (1966), 235271.Google Scholar