Dear Participants,
Lecture 08 is uploaded to the web page and you can download it by clicking on the PDF link
https://www.mat.tuhh.de/veranstaltungen/isem26/_media/lecture08.pdf
In Lecture 08, we study the large time behaviour of the semigroup, thus providing the behaviour of solutions of the corresponding heat equation as time tends to infinity. We will see that this is related to spectral properties of the Laplacian.
We kindly ask the team of Auburn University to provide solutions to the exercises for this lecture.
With the best regards,
your virtual lecturers.