Lecture "Pseudodifferential operators" (Winter semester 2019/20)

Prof. Dr. Robert Denk

  • Time: Tuesday 10.00-11.30 in F 420
  • The exercise takes place every second week in form of a discussion on the exercise sheets.
  • Language: German (English if there are students who don't speak German)

Content:

The idea of pseudodifferential operators (PsDOs) is based on the observation that every differential operator turns into multiplication with a polynomial in Fourier space. Replacing the polynomial by a more general function (called the symbol), one obtains a PsDO. The strength of the theory of PsDOs lies in the fact that one can identify both differential operators and their solution operators (resolvents) as PsDO. The theory of PsDOs consists in defining and studying appropriate symbol classes and mapping properties for the related operators.

 Pre-requisite for this lecture is knowledge in functional analysis. Basic knowledge in the theory of partial differential equations are of advantage.

Literature:

A list of references can be found the end of the lecture notes.

Lecture notes:

The lecture notes (in German) can be found in ILIAS.

Examination:

The examination takes place in form of an oral examination and can be arranged personally.