The linear symmetric systems associated with the modified Cherednik operators and applications

Mejjaoli, Hatem

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.

Classification : 35L05, 22E30
Mots clés : Modified Cherednik operators, modified Cherednik symmetric systems, energy estimates, finite speed of propagation, generalized wave equations with variable coefficients

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