The 8th : PDE Real Analysis Seminar

Organizers :: H.Arai (University of Tokyo) Y.Giga (University of Tokyo/Hokkaido University)
Board Members :: H.Ishii (Waseda.U) T.Kawazoe (Keio.U) N.Kenmochi (Chiba.U) M.Sakai (Tokyo Metropolitan.U) Y.Shibata (Waseda.U) K.Mochizuki (Chuo.U) A.Miyachi(Tokyo Woman's Christian.U) M.Yamazaki (Waseda.U)

Place :: Graduate School of Mathematical Sciences the University of Tokyo, Room #122

Programme :

Helmut Abels (Max Planck Institute, Leipzig): "Pseudodifferential Boundary Value Problems with Non-Smooth Coefficients"
ABSTRACT:: We discuss an operator class that models elliptic differential boundary value problems as well as their solution operators and is closed under compositions. It was introduced by Boutet de Monvel in 1971 and provides a powerful tool to calculate with symbols associated to these operators. But the standard calculus and most of its further developments require that the symbols have smooth coefficient in the space and phase variable. We present some results which extend the calculus to symbols which have limited smoothness in the space variable. Such an extension is nescessary to apply the calculus to nonlinear partial differential boundary value problems and free boundary value problems.

The 8th PDE Real Analysis Seminar