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.
Examples & applications to illustrate the parallel lecture course.
There will be weekly exercises which have to be presented at the blackboard by the students.
Solution of exercises and presentation at the blackboard