Lehrinhalte
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)

Voraussetzungen
recommended: Functional Analysis

Further Grading Information
Registration for this course opens on 20.9.2021. After registration you find further information and the course materials in the [url=https://moodle.tu-darmstadt.de/course/view.php?id=27726]moodle course[/url].

Semester: WT 2021/22
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