In contrast to linear PDEs there is no systematic classification of nonlinear PDEs. Hence, a variety of analytical tools is needed to understand the existence, uniqueness, structur, and the large time behavior of solutions. In this course typical strategies will be discussed: convex analysis, maximum principles, monotonicity methods, fixed point methods, evolution semigroups, ...
Semilinear and quasilinear elliptic problems; semilinear and quasilinear parabolic problems; Hamiltonian systems; nonlinear wave equations
oral exam
Not necessary
linear PDEs