Dr. Katharina Hopf

Teaching at HU Berlin

I am supervising Master thesis projects in the field of analysis and partial differential equations. To get in touch, please send me an email with a brief description of your interests and a list of the relevant courses you have taken so far.

SoSe 2025: Gradient Flows and Evolution PDEs
(AGNES Title: Nonlinear Parabolic Equations and Gradient Flows)
Content:
  1. Euclidean gradient flows
  2. Gradient flows in Hilbert spaces
  3. Application of Hilbertian theory to evolution PDEs
  4. Metric gradient flows (and applications)
Hours: 2+1 SWS.
Prerequisite: Functional Analysis
For further information and literature, see Moodle page.


WiSe 2022/23: Nonlinear Partial Differential Equations
Content:
  1. Fixed point theorems
  2. Variational inequalities and quasilinear elliptic equations
  3. Quasilinear parabolic equations and degenerate diffusion
  4. Reaction-diffusion systems
  5. Introduction to hyperbolic systems of conservation laws
Hours: 4+2 SWS.