After successful completion of the course, students are able to give proof for the existence of weak solutions of different classes of nonlinear elliptic and parabolic differential equations; they are able to use maximum principles for weak solutions; furthermore the students learn how to use the theory of viscous solutions for Hamilton-Jacobi-equations and to present solutions to a group of other students.
- semilinear elliptic equations
- quasilinear elliptic equations
- semilinear parabolic equations
- quasilinear parabolic equations
- stationary Navier-Stokes-equations
- Schroedinger-equations
- Hamilton-Jacobi-equations
There will be lectures and exercises. In the lecture the theory is introduced und examples will be calculated. Once a week there will be exercise-sheets which will be calculated at the blackboard by the students.
A script is available on the homepage http://www.asc.tuwien.ac.at/~juengel - > Teaching
Exercises and presentation on the blackboard; oral exam
Not necessary
Linear partial differential equations; functional analysis
