Calculus of Variations and Geometric Measure Theory

Precise influence and determination domains for some hyperbolic problems

Jeffrey Rauch ((Michingan University)

created by alberti on 29 Jan 2004

11 feb 2004

Abstract.

The next Analysis Seminar of the Mathematics Department will be given by

Jeffrey Rauch (Michingan University)

Wed., February 11, at 5.30 PM

Aula Seminari (Department of Mathematics)

title (translated from french — mistakes are mine): Precise influence and determination domains for some hyperbolic problems

abstract: The natural description of the domain of determination in terms of influence curves is correct in the sense that the domain described is a domain of determination. In addition, that domain can be described by maximal solutions of Hamilton-Jacobi Equations and also are swept out by smooth spacelike deformations from the support of the initial data. (Joint work with J.-L. Joly et G. Metivier)

Giovanni Alberti and Vladimir Georgiev