Intermediate Spaces

Dear Participants,

last week we saw how to construct fractional powers to operators. Their main aim is, from our perspective, that their domains provide excellent intermediate spaces where we will be able to get various consistency estimates for some approximation schemes.

This week we continue the investigation of such spaces but from a different perspective: we do not operate with the generator, but directly with the semigroup and investigate its various continuity properties. This leads us to the next lecture, which you can download from the pdf-link below.

We kindly ask the Voronezh team to provide the official solutions to this lecture.

Best wishes and good reading,
your virtual lecturers

Alexander
András
Bálint
Petra

ISEM15_Lecture8.pdf

A corrected version will be uploaded soon, until then see:

Discussion of Lecture 8.

Solutions and discussion of the exercises.