Universität Wien
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250066 VO Advanced partial differential equations (2019W)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik
Moodle

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 01.10. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 03.10. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 08.10. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 10.10. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 15.10. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 17.10. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 22.10. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 24.10. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 29.10. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 31.10. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 05.11. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 07.11. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 12.11. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 14.11. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 19.11. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 21.11. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 26.11. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 28.11. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 03.12. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 05.12. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 10.12. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 12.12. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 17.12. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 07.01. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 09.01. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 14.01. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 16.01. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 21.01. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 23.01. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 28.01. 15:00 - 16:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 30.01. 09:45 - 10:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The students will get a toolbox of modern methods for the analysis of partial differential equations. We cover Sobolev spaces and inequalities, elliptic regularity, semilinear elliptic and parabolic equations, nonlinear Schrödinger equations, scattering, quasilinear wave equations, Klainerman's vector field method, singularity formation. The course will provide a "hands-on" approach, i.e., we will not prove the most general versions of the theorems but the most useful ones.

Assessment and permitted materials

Oral or written exam, depending on the number of participants.

Minimum requirements and assessment criteria

Prerequisites: Students should have a basic knowledge of PDEs and functional analysis as provided, for instance, in the Bachelor program Mathematics at the University of Vienna.

Examination topics

Everything covered in the course.

Reading list

I will not follow a particular reference. Standard texts on PDEs include Evans, Taylor, John. For wave and Schrödinger equations, see e.g. Sogge, Tao, Sulem-Sulem. More references will provided in the course when appropriate.

Association in the course directory

MANP

Last modified: Th 18.02.2021 00:24