Uniqueness in the spacelike Cauchy problem and precise finite speed for symmetrisable hyperbolic operators

Jeudi 8 janvier 2009 14:15-15:15 - Rauch Jeffrey - Université du Michigan

Résumé : For operators symmetrisable by a pseudodifferential operator in x, there is uniqueness in the Cauchy problem at arbitrary spacelike surface and precise finite speed described by influence curves.
UCP is a consequence of finite speed.
Finite speed is proved direction by direction with estimates for regularized operators proved using refined calculi of Beals-Fefferman-
Hormander.

Lieu : bât. 425 - 113-115

Uniqueness in the spacelike Cauchy problem and precise finite speed for symmetrisable hyperbolic operators  Version PDF