### Boundary and Eigenvalue Problems (Summer Semester 2007)

• Lecturer:
• Classes: Lecture (1578), Problem class (1579)
• Weekly hours: 4+4
• Audience: Mathematics and other subjects with strong mathematical interests (from 4. semester)

A boundary value problem consists of an elliptic (or ordinary) differential equation posed on some domain, together with additional conditions required on the boundary of the domain, e.g. prescribed values for the unknown function. Typical origins of boundary value problems are steady-state (i.e. time-independent) situations in physics and engineering.

An eigenvalue problem for a differential equation is a linear and homogeneous boundary value problem depending (typically linearly) on an additional parameter, and one is interested in values of this parameter such that the boundary value problem has nontrivial solutions. Eigenvalue problems arise e.g. after separation of variables in time-dependent problems (thus describing many vibrational situations, including quantum mechanics).

Schedule
Lecture: Monday 14:00-15:30 Seminarraum 34 Begin: 16.4.2007
Thursday 11:30-13:00 Seminarraum 34
Problem class: Friday 8:00-9:30 Seminarraum 34
Lecturers
Lecturer Prof. Dr. Michael Plum
Office hours: Please get in contact by email.
Room 3.028 Kollegiengebäude Mathematik (20.30)
Email: michael.plum@kit.edu
Problem classes, Problem classes Dr. Vu Hoang
Office hours:
Room Allianz-Gebäude (05.20)
Email: duy.hoang@kit.edu

# Exercise Sheets

Exercise Sheet 1: pdf-Datei ps-Datei

Exercise Sheet 2: pdf-Datei ps-Datei

Exercise Sheet 3: pdf-Datei ps-Datei

Exercise Sheet 4: pdf-Datei ps-Datei

Exercise Sheet 5: pdf-Datei ps-Datei

Exercise Sheet 6: pdf-Datei ps-Datei

Exercise Sheet 7: pdf-Datei ps-Datei

Exercise Sheet 8: pdf-Datei ps-Datei

Exercise Sheet 9: pdf-Datei ps-Datei

Exercise Sheet 10: pdf-Datei ps-Datei

Exercise Sheet 11: pdf-Datei ps-Datei