Partial Differential Equations 2


Winter semester 22/23

The course has an emphasis on elliptic regularity theory, which is an indispensable foundation of qualitative analysis of stationary but also dynamic partial differential equations.

The focus is on mapping properties of elliptic differential operators on suitable function spaces and on applications to nonlinear partial differential equations from physics and geometry.


Professor Dr. Melcher


Glal Bacho




  • M. Giaquinta, L. Martinazzi: An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs, Springer 2005
  • D. Gilbert, N.S. Trudinger: Elliptic Partial Differential equations of Second Order, Springer 2001
  • L. Hörmander: The Analysis of Linear Partial Differential Operators, Springer 1998
  • E. Stein: Harmonic Analysis, PMS 1993
  • M. Taylor: Partial Differential Equations I-III, Springer 2011