Lecture: Selected Topics in Partial Differential Equations (WS 2020/2021)
Lecture/Exercises
Wed 16.45-18.15 and Thu 13.15-14.45, starting on October 21, 2020
Audience
This lecture will take place online. Students who are planning to participate are advised to write an e-mail to k DOT merz AT tu-bs DOT de.
Prerequisites
Analysis 1-3, and PDE. A nodding acquaintance with functional analysis, distribution theory and some familiarity with the Fourier transform are helpful.
More information on decomposition of Borel measures with respect to Hausdorff measures and dynamics of their Fourier transform is discussed by Y. Last.
Course material Lecture 1 (Unbounded operators in Hilbert spaces)
Lecture 2 (Some classes of linear operators and quadratic forms)
Lecture 3 (Stieltjes measures, Borel transform, and some dynamic aspects) (preliminary notes)
Lecture 4 (Spectral theorem and some dynamic aspects) (preliminary notes)
Exercises
Wed 16.45-18.15 every second week.
The first class is on Nov. 5.