MAT4380 – Nonlinear Partial Differential Equations

Schedule, syllabus and examination date

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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.


Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.


Recommended previous knowledge

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

Overlapping courses

10 credits overlap with MAT9380 – 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.


1 mandatory assignment.

Final oral examination.


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 scale from A to F, where A is the best grade and F is a fail. 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.

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






Spring 2020

Taught according to demand and resources. Contact if you are interested in this course.


Spring 2020

The same semester as taught.

Teaching language


The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.