|
||||||||||||||
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.
To participate in this course you must have an admission to a Ph.D.-programme at a Norwegian University or University College.
If you do not have an admission to the Ph.D.-Programme in Science at The Faculty of Mathematics and Natural Sciences at UiO, you have to apply for hospitantstatus (norwegian text) . For more information, please contact the Department.
Only students admitted to the course may take part in instruction and tuition and sit for the examination.
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/ MAT-INF4300 - Partial differential equations and Sobolev spaces I.
10 credits with MAT4380 - Nonlinear partial differential equations.
4 hours of lectures/exercises per week.
Teaching takes place throughout the semester.
Oral exam
No special exam resources are allowed.
The language of examination is generally Norwegian. You can apply to the administrators of the course to be given the exam text in English. It is generally possible to submit your response in Norwegian, Swedish, Danish or English.
Students are awarded either a passing or failing grade. The pass/fail scale is applied as an independent scale with only two possible results.
A student may appeal against an awarded grade and/or file a formal complaint about exam procedures.
Students who due to illness or other valid reason of absence were unable to sit for their final exams may apply for participation in make-up exams. Make-up exams are arranged either later in the same semester or early in the semester following the exam in question. Documentation of valid reasons for absence from the regular exam must be submitted upon application to participate in make-up exams.
Students who have failed an exam and students who wish to re-take an exam to achieve a better grade may not participate in make-up exams, but must re-take the exam when it is regularly scheduled.
Students may apply for access to alternative exam resources or exam forms on the basis of chronic illness and/or special needs that create a marked disadvantage to other students in the exam situation. Mothers who are breastfeeding may apply for extra time to complete the exam.
Visiting address:
Niels Henrik Abel's building, Moltke Moes vei
Postal address:
P.O.box 1053, Blindern
NO-0316 Oslo
Visiting hours:
Monday-friday 09:00-14:30
Get in touch with the University of Oslo