CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS
UNIVERZA V MARIBORU $\bullet$ UNIVERSITY OF MARIBOR
KREKOVA 2 $\bullet$ SI-2000 MARIBOR $\bullet$ SLOVENIA
Phone +(386) (2) 2355 350 and 2355 351 $\bullet$ Fax +(386) (2) 2355 360
Robnik@uni-mb.si $\bullet$ www.camtp.uni-mb.si
PROF.DR. MARKO ROBNIK, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoretično fiziko

Semigroups of Operators and Applications to Differential Equations

Professor Dr. Jizhou Zhang

Department of Mathematics, Shanghai Normal University, P.R. China

Abstract: In this talk, we investigate whether abstract differential operator with the symbol polynomial generates integrated semigroup and regularized semigroup by making different conditions. The application to partial differential operators with constant coefficients can be obtained immediately on several different function spaces. In particular, more exact results are obtained for pseudodifferential operator on certain function space. Finally, the results are applied to partial differential equations and compared by the size of their initial value spaces. It turns out that the regularized semigroup is an appropriate tool for non-elliptic partial differential operators and is far superior to the integrated semigroup approach. Similarly, corresponding results are obtained for integrated cosine function and regularized cosine function.

Seminarsko predavanje bo v petek 4. avgusta 2006 ob 15:15 uri v seminarski sobi CAMTP, Krekova 2, pritličje. Vljudno vabljeni vsi zainteresirani, tudi študenti.

Prof.Dr. Marko Robnik
-- Direktor CAMTP --