19 mar 2009

Abstract.

Seminario di Analisi

Giovedì 19 Marzo 2009 Ore 17 Sala Seminari del Dipartimento di Matematica (attenzione al cambiamento di aula)

Prof. Jeffrey Rauch (Michigan University)

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

Abstract: 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.