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Boundary and Eigenvalue Problems / Rand- und Eigenwertprobleme (Summer Semester 2005)

  • Lecturer: Prof. Dr. Michael Plum
  • Classes: Lecture (01578), Problem class (01579)
  • 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).

Lecture: Tuesday 11:30-13:00 Seminarraum 12
Friday 9:45-11:15 Seminarraum 12
Problem class: Wednesday 14:00-15:30 Seminarraum 12