Kursussøgning, efter- og videreuddannelse – Københavns Universitet

Videresend til en ven Resize Print Bookmark and Share

Kursussøgning, efter- og videreuddannelse

CANCELLED Partial Differential Equations (PDE)

Practical information
Study year 2016/2017
Block 1
Programme level Full Degree Master
Course responsibles
  • Jesper Lützen (6-7f88878d7881538074877b417e8841777e)
  • Jan Philip Solovej (7-75716e7178676c426f63766a306d7730666d)
  • Department of Mathematical Sciences
Course number: NMAK16022U

Course content

A selection form the following list of subjects:

The classical PDE:

                             -Laplace's equation

                             -The Heat equation

                             -The Wave equation


Second order linear elliptic equations

                             -Existence of weak solutions


                             -Maximum principles


Second order linear parabolic equations

                             -Existence of weak solutions


                             -Maximum principles


Second order linear hyperbolic equations

                             -Existence of weak solutions


                             -Propgation of singularities


Non-linear PDE

                             -The Calculus of Variations

                             -Fixed point methods

                             -Method of sub/supersolutions

                             -Non-existence of solutions

Learning outcome

The properties of the PDEs covered in the course


  • Understand the characteristics of the different types of PDE
  • Understand concepts such as existence uniqueness and regularity of solutions to differential equations.
  • Determine when a certain solution method applies


  • Solve classical partial differential equations
  • Establish existence, uniqueness and regularity of solutions to certain differential equations

Recommended prerequisites

A knowledge of complex analysis, Banach and Hilbert Spaces, Fourier transform and distribution theory corresponding to KomAn An2 and DifFun.

Sign up

As an exchange, guest and credit student - click here!

Continuing Education - click here!


MSc Programme in Mathematics


Study Board of Mathematics and Computer Science

Course type

Single subject courses (day)


1 block


---- SKEMA LINK ----

Teaching and learning methods

5 hours of lectures and 2 hours of exercises each week for 8 weeks


No restrictions/ no limitation




Category Hours
Lectures 40
Exercises 16
Exam 4
Preparation 146
English 206


Type of assessment

Written examination, 4 hours under invigilation


All aids allowed

Marking scale

7-point grading scale

Criteria for exam assessment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.

Censorship form

No external censorship
One internal examiner.


As ordinary exam.

If ten or fewer students have signed up for re-exam, the type of assessment will be changed to a 30 min. oral exam with 30 min preparation. All aids allowed during preparation time, none for the examination. Several internal examiners.

Mere information om kurset
Er du BA- eller KA-studerende?
Er du bachelor- eller kandidat-studerende, så find dette kursus i kursusbasen for studerende:

Kursusinformation for indskrevne studerende