The 2st PDE Real Analysis Seminar
(COE Partner Seminar, Department of Mathematics, Hokkaido University )
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).