MAT9380 – Nonlinear partial differential equations

Schedule, syllabus and examination date

Choose semester

Course content

The aim of this course is to provide an introduction to modern methods for studying nonlinear partial differential equations. The content of the course, which can change from time to time, is built around some of the following themes: calculus of variations, nonvariational techniques, weak convergence techniques, Hamilton-Jacobi(-Bellman) equations and the theory of viscosity solutions, systems of conservation laws and the theory of shock wave solutions, and the (incompressible/compressible) Navier-Stokes equations.

Learning outcome

Understanding of some modern methods for studying nonlinear partial differential equations.


PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.


Recommended previous knowledge

Basic training in Sobolev space theory and linear partial differential equations, for example as provided by MAT-INF3300 – Partial differential equations and Sobolev spaces I (discontinued)/MAT-INF4300 – Partial differential equations and Sobolev spaces I (continued).

Overlapping courses

10 credits with MAT4380 – Nonlinear partial differential equations.


4 hours of lectures/exercises per week.

Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.


Final oral examination.

In addition, each PhD student is expected to give a one hour oral presentation on a topic of relevance chosen in cooperation with the lecturer. The presentation has to be approved by the lecturer for the student to be admitted to the final exam.

Examination support material

No examination support material is allowed.

Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Explanations and appeals

Resit an examination

Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.


The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course






Autumn 2018

Spring 2016

Spring 2015

Spring 2010

Spring 2008

Spring. Taught according to demand and resources. If you want to attend the course, please send an e-mail to


Autumn 2018

Spring 2016

Spring 2015

Spring 2010

Spring 2008

According to demand and resources.

Teaching language


The course is given in English. If no students have asked for the course in English within the first lecture, it may be given in Norwegian.