Familiarity with the most important types of partial differential equations. Overview of solution approaches and the necessary mathematical prerequisites.

Method of characteristics for first order equations, Linear partial differential equations of second order (elliptic, parabolic, hypberbolic), Initial boundary value problems, Eigenvalue problems, Distributions, Weak formulation

This courses is blocked until Christmas.

written and oral exams

A manuscript of the course is available at http://www.asc.tuwien.ac.at/~juengel -> Teaching.

* analysis 1-3
* differential equations 1 (solving equations of 1st and 2nd order with constant coefficients [also inhomogeneous], variation of constants, separation of variables)
* functional analysis (in particular compactness, strong/weak convergence, L^p spaces, Hilbert spaces, dual spaces, Riesz' representation theorem, linear operators, spectrum)