Advanced Partial Differential Equations,
Winter 2017

Ort und Termin
Type: Time: Place: Start:
Lecture (VO) 3 hrs. 9:45-11:15
Proseminar 1 hr.
12:30-13:15 SR11 4.10.
Approximation in Lp and mollification [Teschl, Section 10.4]. Sobolev spaces [Teschl, Section 13.1], [Evans, Chapter 5]. To be continued....
The following problems should be prepared:
The topics covered during class will be documented here.
Target audience
Module "Advanced Partial Differential Equations" in the Master's programme in Mathematics
The course assessment for the lecture (VO) will be via an oral examination at the end of the course. The course assessment for the introductory seminar (PS) will be via participation (solving/presenting assigned problems) during the seminar.

Some textbooks

  1. H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer, New York, 2011.
  2. L.C. Evans, Partial Differential Equations, 2nd ed., Amer. Mat. Soc., 2010.
  3. D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer, Berlin, 2001.
  4. G. Grubb, Distributions and Operators, Springer, New York, 2009.
  5. G. Teschl, Topics in Real and Functional Analysis, Amer. Math. Soc., Providence, to appear.
Looking forward to seeing you, Gerald Teschl