The 2st PDE Real Analysis Seminar

(COE Partner Seminar, Department of Mathematics, Hokkaido University )

Contents

Outline

Organizers :
H.Arai (University of Tokyo), Y. Giga (Hokkaido University)
Period :
October 13, 2004 (Wednesday)
Place :
Graduate School of Mathematical Sciences the University of Tokyo, Room #128
Programme :
September 29, 2004 (Wednesday)
10:30 - 11:30 Philippe G. LeFloch (University of Paris 6)
Existence, uniqueness, and continuous dependence of entropy solutions to hyperbolic systems
ABSTRACT:
I will review the well-posedness theory of nonlinear hyperbolic systems, in conservative or in non-conservative form, by focusing attention on the existence and properties of entropy solutions with sufficiently small total variation.
New results and perspectives on the following issues will be discussed: Glimm's existence theorem,

Bressan-LeFloch's uniqueness theorem,and the L1 continuous dependence property (established by Bressan, LeFloch, Liu, and Yang).