MAT9380 – Nonlinear Partial Differential Equations

Schedule, syllabus and examination date

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Changes in the course due to coronavirus

Autumn 2020 we plan for teaching and examinations to be conducted as described in the course description and on semester pages. However, changes may occur due to the corona situation. You will receive notifications about any changes at the semester page and/or in Canvas.

Spring 2020: Teaching and examinations was digitilized. See changes and common guidelines for exams at the MN faculty spring 2020.

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.

Admission to the course

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.

Basic training in Sobolev space theory and linear partial differential equations, for example as provided by MAT4305 – Partial Differential Equations and Sobolev Spaces I.

Overlapping courses

Teaching

4 hours of lectures/exercises per week.

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

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.

Examination

1 mandatory assignment.

Final oral examination.

In addition, each PhD candidate is expected to give an 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 scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Resit an examination

This course offers both postponed and resit of examination. Read more:

Special examination arrangements, use of sources, explanations and appeals

See more about examinations at UiO

Last updated from FS (Common Student System) Aug. 4, 2020 2:20:34 AM

Facts about this course

Credits
10
Level
PhD
Teaching

Taught according to demand and resources. Contact studieinfo@math.uio.no if you are interested in this course.

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

Spring semester 2020: This course will only be given as a self-study course for master students at the Department of Mathematics.

Teaching language
English