Annales Mathématiques
Blaise Pascal
no. 1
The linear symmetric systems associated with the modified Cherednik operators and applications
[Les systèmes symétriques linéaires associés aux opérateurs de Cherednik modifiés et applications]
Hatem Mejjaoli1
1 Department of Mathematics College of Sciences King Faisal University Ahsaa, Kingdom of Saudi Arabia
Annales mathématiques Blaise Pascal, Tome 19 (2012) no. 1, pp. 213-245.

Nous présentons et étudions les systèmes symétriques linéaires associés aux opérateurs de Cherednik modifiés. Nous prouvons que le problème de Cauchy pour ces systèmes sont bien posé. Finalement nous en décrivons le principe de vitesse finie.

We introduce and study the linear symmetric systems associated with the modified Cherednik operators. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite propagation speed property of it.

DOI : 10.5802/ambp.311
Classification : 35L05, 22E30
Mots clés : Modified Cherednik operators, modified Cherednik symmetric systems, energy estimates, finite speed of propagation, generalized wave equations with variable coefficients
Hatem Mejjaoli 1

1 Department of Mathematics College of Sciences King Faisal University Ahsaa, Kingdom of Saudi Arabia 
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Hatem Mejjaoli. The linear symmetric systems associated with the modified Cherednik operators and applications. Annales mathématiques Blaise Pascal, Tome 19 (2012) no. 1, pp. 213-245. doi : 10.5802/ambp.311. https://ambp.centre-mersenne.org/articles/10.5802/ambp.311/

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