Universität Wien
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250142 VO Topics in Analysis (2022W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik
ON-SITE
Moodle

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 11.10. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 12.10. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 18.10. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 19.10. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 25.10. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 08.11. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 09.11. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 15.11. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 16.11. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 22.11. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 23.11. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 29.11. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 30.11. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 06.12. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 07.12. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 13.12. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 14.12. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 10.01. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 11.01. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.01. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 17.01. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 18.01. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.01. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 24.01. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 25.01. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 31.01. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The aim of this course is to provide an introduction to the rigorous mathematical analysis of solutions to partial differential equations with dispersive or wave features. Classical such examples are the (nonlinear) Schrodinger, wave or KdV equations, which arise in various physical contexts (such as quantum mechanics, electrodynamics, fluid motion and relativity theory) and will guide the exposition. The necessary technical tools, including in particular basics of distribution theory and harmonic/Fourier analysis, will be developed along the way.Plan of the course:- Introduction- Some background in distributions and Harmonic / Fourier analysis- Solutions to linear equations and their behavior- What do we mean by solving a nonlinear equation?- Semilinear Equations: Local Solutions- Semilinear Equations: Global Solutions and (long time) dynamics?- Quasilinear Equations: Spacetime resonance approachPrerequisites:Solid foundations in analysis, including measure theory and some basics of functional analysis. No prior knowledge of Sobolev spaces / PDE necessary.

Assessment and permitted materials

oral exam

Minimum requirements and assessment criteria

Examination topics

Reading list

Association in the course directory

MANV

Last modified: Fr 16.02.2024 00:18