Partial differential equations


The lecture will be held in English.


Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena arising in various fields of science such as heat conduction, elasticity, electrodynamics, fluid flow, chemical reaction, quantum mechanics or Black-Scholes option pricing model in mathematical finance... Study on PDEs therefore plays an important role in applications concerning many different fields.

The aim of this course is to give an introduction to the theory of PDEs. We first recall some necessary basic tools. Then, a detailed study on some important PDEs, namely Laplace's equation, the heat equation and the wave equation are given. These serve as archetypes and motivation for the further study on the more complicated PDEs.


In order to follow well the course and to understand the content of the course it is very important to do the exercises during the semester. Every week there will be an exercise sheet.

In order to be admitted to the exam active participation in the exercise session is required.


At the end of the course there will be an oral exam.

Lecture Team

Lecturer: Prof.Dr. Anna Dall'Acqua
Exercise instructor: Ibrokhimbek Akramov


  • ECTS credits: 9
  • Hours per week: 4+2

Times and rooms

  • Lecture (ab 24.04.19):
    • Wednesday 8:0010:00:      H21, O28 (Room changed!)
    • Thursday 10:0012:00:      227, N24 (Room changed!)
  • Exercises (ab 26.04.19):
    • Friday 12:0014:00:          He22, E04

Please register in Moodle.


[1] L. Evans, Partial Differential Equations, American Mathematical Society

[2] M. Renardy, R. Rogers, An Introduction to Partial Differential Equations, Springer

[3] F. Sauvigny, Partielle Differentialgleichungen der Geometrie und der Physik, Springer

[4] B. Schweizer, Partielle Differentialgleichungen, Springer

Link to "Semesterapparat"