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401-3350-24L 4 Credits BSC , MSC D-MATH

Introduction to Nonlinear Analysis

Lecturers & Examiners: Dr. Simon Becker
Number of participants limited to 24.
VVZ CR n/a

Last Updated: 2026-02-05 16:37:24

Content

This seminar introduces analytic tools for the mathematical study of nonlinear problems arising from mathematical physics such as the nonlinear Schroedinger equation. A particular emphasis will be made on the classical description of fundamental non linear waves discovered in the 19-20th century: solitons or solitary waves such as the nonlinear Schroedinger equation. We will among others discuss classical methods (i) the Lyapounov-Schmidt theorem and the construction of nonlinear bifurcation branches; (ii) the nonlinear differential equations approach: local solutions, Lyapounov functional and phase portraits; (iii) the variational approach: minimization of functionals in Hilbert and Banach spaces.

General Information

Language
English
Levels
BSC , MSC

Examination

Type
ungraded semester performance

Registration & Places

Limited places (Special selection)
Signup Start
01.01.2024
Signup End
10.02.2024
Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type Title Time & Place Hours
seminar Introduction to Nonlinear Analysis
  • Mon 16:15-18:00 (LFW C 4)
2 h weekly

Offered In

  • Mathematics Bachelor
    • Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. Everybody is waitlisted first when he/she tries to register for a seminar in myStudies. Moreover: Only one mathematics seminar can be chosen per semester. Notice also the course unit 401-0002-99L Generic Seminar - Second Priority / Third Priority.)
  • Mathematics Master
    • Seminars and Semester Papers
      • Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. Everybody is waitlisted first when he/she tries to register for a seminar in myStudies. Moreover: Only one mathematics seminar can be chosen per semester. In case you need to attend 2 seminars in this semester, please take contact with the Study Administration (email: ). Notice also the course unit 401-0002-99L Generic Seminar - Second Priority / Third Priority.)