04-00-0184-vu Partial Differential Equations I

Instructors: apl. Prof. Dr. rer. nat. Christian Stinner; Dr. rer. nat. Björn Augner

Event type: Lecture & Exercise

Org-unit: Dept. 04 - Mathematics

Displayed in timetable as: PDE II

Subject:

Crediting for:

Hours per week: 6

Language of instruction: Englisch

Min. | Max. participants: - | -

Digital Teaching:
The lecture will consist of uploaded videos and a discussion-session. The exercises will take place in online-meetings.

Course Contents:
Classical treatment of the fundamental types (e.g. elliptic, parabolic, hyperbolic, dispersive), formulation of elliptic boundary value problems as variational problems, regularity theory, theory of Sobolev spaces, Galerkin methods, fixed point methods and nonlinear elliptic and parabolic equations

Literature:
L.C. Evans: Partial Differential Equations (AMS)
D. Gilbarg, N.S. Trudinger: Elliptic Partial Differential Equations of Second Order (Springer)
M. Renardy, R.C. Rogers: An Introduction to Partial Differential Equations (Springer)

Preconditions:
recommended: Functional Analysis

Online Offerings:
moodle