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
Literatur
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
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
Literatur
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
- Lehrende: Robert Haller
Semester: WT 2018/19