MAT4380 – Nonlinear Partial Differential Equations
Schedule, syllabus and examination date
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.
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).
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.
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.
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.