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.