04-00-0184-vu Partial Differential Equations I

Instructors: Prof. Dr. rer. nat. Hans-Dieter Alber; Dr. rer. nat. Sergiy Nesenenko

Event type: Lecture & Exercise

Org-unit: Dept. 04 - Mathematics

Displayed in timetable as: PDGLn I

Subject:

Crediting for:

Hours per week: 6

Credits: 9,0

Language of instruction: German

Min. | Max. participants: - | -

Course Contents:
Derivation of the wave equation and the Helmholtz equation from
principles of continuum mechanics. Solution principles for boundary
value problems to the Helmholtz equation: Fourier series and Bessel
functions, maximum principle and Perron's method, integral equations.
Weak formulation of elliptic boundary value problems in Sobolev spaces.
Solution of elliptic boundary value problems with hilbert space methods.
Eigenvalues and spectral theorem for elliptic operators on bounded domains.