Universität Wien
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250065 VO Selected topics in partial differential equations (2009S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 05.03. 11:30 - 13:00 Seminarraum
  • Thursday 19.03. 11:30 - 13:00 Seminarraum
  • Thursday 26.03. 11:30 - 13:00 Seminarraum
  • Thursday 02.04. 11:30 - 13:00 Seminarraum
  • Thursday 23.04. 11:30 - 13:00 Seminarraum
  • Thursday 30.04. 11:30 - 13:00 Seminarraum
  • Thursday 07.05. 11:30 - 13:00 Seminarraum
  • Thursday 14.05. 11:30 - 13:00 Seminarraum
  • Thursday 28.05. 11:30 - 13:00 Seminarraum
  • Thursday 04.06. 11:30 - 13:00 Seminarraum
  • Thursday 18.06. 11:30 - 13:00 Seminarraum
  • Thursday 25.06. 11:30 - 13:00 Seminarraum

Information

Aims, contents and method of the course

The main topic of this course will be properties of solutions of linear
PDEs of 2nd order: For linear operators with constant coefficients the
connection between hypoellipticity of the operator and the regularity of
fundamental solutions will be shown. For linear elliptic PDEs we shall
deal with regularity results for weak solutions. Thereby Sobolev spaces
play an important role. In particular properties of eigenfunctions of
Schroedinger operators will be investigated: regularity, asymptotic behaviour, connections with the spectrum of the corresponding operators.
solutions will be shown.

Assessment and permitted materials

Mündliche Prüfung

Minimum requirements and assessment criteria

see content

Examination topics

Analysis

Reading list

B. Folland, Introduction to Partial Differential Equations
L.C. Evans, Partial Differential Equations
D. Gilbarg, N.S. Trudinger, Elliptic Partial Differential Equations of Second Order

Association in the course directory

MANV

Last modified: Mo 07.09.2020 15:40